Question The cinema sells child, adult, and senior tickets. $35\%$ of tickets are child and $25\%$ are senior. What proportion of tickets sold are adult?

Studdy Solution

STEP 1

Assumptions
1. The proportion of child tickets sold is 35%.
2. The proportion of senior tickets sold is 25%.
3. The total proportion of tickets sold is 100%.
4. The proportion of adult tickets sold is what remains after subtracting the proportions of child and senior tickets from the total.

STEP 2

Convert the percentages of child and senior tickets to decimal form to facilitate calculation.
$35\% = 0.35$ $25\% = 0.25$

STEP 3

Calculate the total proportion of tickets sold that are either child or senior tickets by adding their respective proportions.
$Proportion\, of\, child\, and\, senior\, tickets = Proportion\, of\, child\, tickets + Proportion\, of\, senior\, tickets$

STEP 4

Plug in the decimal values for the proportions of child and senior tickets to find the combined proportion.
$Proportion\, of\, child\, and\, senior\, tickets = 0.35 + 0.25$

STEP 5

Calculate the combined proportion of child and senior tickets.
$Proportion\, of\, child\, and\, senior\, tickets = 0.35 + 0.25 = 0.60$

STEP 6

To find the proportion of adult tickets, subtract the combined proportion of child and senior tickets from the total proportion of tickets.
$Proportion\, of\, adult\, tickets = Total\, proportion - Proportion\, of\, child\, and\, senior\, tickets$

STEP 7

Since the total proportion of tickets is 100%, convert this to a decimal and plug in the values to calculate the proportion of adult tickets.
$Proportion\, of\, adult\, tickets = 1.00 - 0.60$

STEP 8

Calculate the proportion of adult tickets.
$Proportion\, of\, adult\, tickets = 1.00 - 0.60 = 0.40$
The proportion of the tickets sold that are adult tickets is 0.40 as a decimal.

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Question The cinema sells child, adult, and senior tickets. $35\%$ of tickets are child and $25\%$ are senior. What proportion of tickets sold are adult?

Studdy Solution

STEP 1

Assumptions
1. The proportion of child tickets sold is 35%.
2. The proportion of senior tickets sold is 25%.
3. The total proportion of tickets sold is 100%.
4. The proportion of adult tickets sold is what remains after subtracting the proportions of child and senior tickets from the total.

STEP 2

Convert the percentages of child and senior tickets to decimal form to facilitate calculation.
$35\% = 0.35$ $25\% = 0.25$

STEP 3

Calculate the total proportion of tickets sold that are either child or senior tickets by adding their respective proportions.
$Proportion\, of\, child\, and\, senior\, tickets = Proportion\, of\, child\, tickets + Proportion\, of\, senior\, tickets$

STEP 4

Plug in the decimal values for the proportions of child and senior tickets to find the combined proportion.
$Proportion\, of\, child\, and\, senior\, tickets = 0.35 + 0.25$

STEP 5

Calculate the combined proportion of child and senior tickets.
$Proportion\, of\, child\, and\, senior\, tickets = 0.35 + 0.25 = 0.60$

STEP 6

To find the proportion of adult tickets, subtract the combined proportion of child and senior tickets from the total proportion of tickets.
$Proportion\, of\, adult\, tickets = Total\, proportion - Proportion\, of\, child\, and\, senior\, tickets$

STEP 7

Since the total proportion of tickets is 100%, convert this to a decimal and plug in the values to calculate the proportion of adult tickets.
$Proportion\, of\, adult\, tickets = 1.00 - 0.60$

STEP 8

Calculate the proportion of adult tickets.
$Proportion\, of\, adult\, tickets = 1.00 - 0.60 = 0.40$
The proportion of the tickets sold that are adult tickets is 0.40 as a decimal.

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Question The cinema sells child, adult, and senior tickets. 35%35\%35% of tickets are child and 25%25\%25% are senior. What proportion of tickets sold are adult?

Studdy Solution

STEP 1

Assumptions1. The proportion of child tickets sold is 35%.2. The proportion of senior tickets sold is 25%.3. The total proportion of tickets sold is 100%.4. The proportion of adult tickets sold is what remains after subtracting the proportions of child and senior tickets from the total.

STEP 2

Convert the percentages of child and senior tickets to decimal form to facilitate calculation.35%=0.3535\% = 0.3535%=0.35 25%=0.2525\% = 0.2525%=0.25

STEP 3

STEP 4

Plug in the decimal values for the proportions of child and senior tickets to find the combined proportion.Proportion of child and senior tickets=0.35+0.25Proportion\, of\, child\, and\, senior\, tickets = 0.35 + 0.25Proportionofchildandseniortickets=0.35+0.25

STEP 5

Calculate the combined proportion of child and senior tickets.Proportion of child and senior tickets=0.35+0.25=0.60Proportion\, of\, child\, and\, senior\, tickets = 0.35 + 0.25 = 0.60Proportionofchildandseniortickets=0.35+0.25=0.60

STEP 6

STEP 7

Since the total proportion of tickets is 100%, convert this to a decimal and plug in the values to calculate the proportion of adult tickets.Proportion of adult tickets=1.00−0.60Proportion\, of\, adult\, tickets = 1.00 - 0.60Proportionofadulttickets=1.00−0.60

STEP 8

Calculate the proportion of adult tickets.Proportion of adult tickets=1.00−0.60=0.40Proportion\, of\, adult\, tickets = 1.00 - 0.60 = 0.40Proportionofadulttickets=1.00−0.60=0.40The proportion of the tickets sold that are adult tickets is 0.40 as a decimal.

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Question The cinema sells child, adult, and senior tickets. $35\%$ of tickets are child and $25\%$ are senior. What proportion of tickets sold are adult?

Assumptions
1. The proportion of child tickets sold is 35%.
2. The proportion of senior tickets sold is 25%.
3. The total proportion of tickets sold is 100%.
4. The proportion of adult tickets sold is what remains after subtracting the proportions of child and senior tickets from the total.

Convert the percentages of child and senior tickets to decimal form to facilitate calculation.
$35\% = 0.35$ $25\% = 0.25$

Plug in the decimal values for the proportions of child and senior tickets to find the combined proportion.
$Proportion\, of\, child\, and\, senior\, tickets = 0.35 + 0.25$

Calculate the combined proportion of child and senior tickets.
$Proportion\, of\, child\, and\, senior\, tickets = 0.35 + 0.25 = 0.60$

Since the total proportion of tickets is 100%, convert this to a decimal and plug in the values to calculate the proportion of adult tickets.
$Proportion\, of\, adult\, tickets = 1.00 - 0.60$

Calculate the proportion of adult tickets.
$Proportion\, of\, adult\, tickets = 1.00 - 0.60 = 0.40$
The proportion of the tickets sold that are adult tickets is 0.40 as a decimal.