QuestionFind the unknown in the proportion $\frac{?}{24}=\frac{2}{3}$ . Also, calculate the cost of 8 movie tickets if 2 cost \$16.

Studdy Solution

STEP 1

Assumptions1. The proportion is $\frac{?}{24}=\frac{}{3}$ , where "?" is the unknown quantity we are trying to find. . The proportion is a statement of equality between two ratios.

STEP 2

To solve the proportion for the unknown quantity, we can cross-multiply. This involves multiplying the numerator of the first ratio by the denominator of the second ratio, and setting it equal to the product of the denominator of the first ratio and the numerator of the second ratio.
$? \\times =24 \\times2$

STEP 3

implify the equation to solve for the unknown quantity.
$? = \frac{24 \\times2}{3}$

STEP 4

Calculate the value of the unknown quantity.
$? = \frac{24 \\times2}{3} =16$ So, the unknown quantity in the proportion is16.

STEP 5

Assumptions1. The cost of two movie tickets is $16.
2. The cost of movie tickets is the same for all tickets.
3. We want to find the cost of eight tickets.

STEP 6

To find the cost of eight tickets, we can set up a proportion. The ratio of the cost of two tickets to the number of tickets (2) is equal to the ratio of the cost of eight tickets (which we're trying to find) to the number of tickets (8).
$\frac{16}{2} = \frac{?}{8}$

STEP 7

To solve the proportion for the unknown quantity, we can cross-multiply. This involves multiplying the numerator of the first ratio by the denominator of the second ratio, and setting it equal to the product of the denominator of the first ratio and the numerator of the second ratio.
$16 \\times =2 \\times ?$

STEP 8

implify the equation to solve for the unknown quantity.
$? = \frac{16 \\times8}{2}$

STEP 9

Calculate the value of the unknown quantity.
$? = \frac{16 \\times8}{2} = \$64$ So, the cost of eight movie tickets is $64.

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QuestionFind the unknown in the proportion $\frac{?}{24}=\frac{2}{3}$ . Also, calculate the cost of 8 movie tickets if 2 cost \$16.

Studdy Solution

STEP 1

Assumptions1. The proportion is $\frac{?}{24}=\frac{}{3}$ , where "?" is the unknown quantity we are trying to find. . The proportion is a statement of equality between two ratios.

STEP 2

STEP 3

implify the equation to solve for the unknown quantity.
$? = \frac{24 \\times2}{3}$

STEP 4

Calculate the value of the unknown quantity.
$? = \frac{24 \\times2}{3} =16$ So, the unknown quantity in the proportion is16.

STEP 5

Assumptions1. The cost of two movie tickets is $16.
2. The cost of movie tickets is the same for all tickets.
3. We want to find the cost of eight tickets.

STEP 6

To find the cost of eight tickets, we can set up a proportion. The ratio of the cost of two tickets to the number of tickets (2) is equal to the ratio of the cost of eight tickets (which we're trying to find) to the number of tickets (8).
$\frac{16}{2} = \frac{?}{8}$

STEP 7

STEP 8

implify the equation to solve for the unknown quantity.
$? = \frac{16 \\times8}{2}$

STEP 9

Calculate the value of the unknown quantity.
$? = \frac{16 \\times8}{2} = \$64$ So, the cost of eight movie tickets is $64.

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QuestionFind the unknown in the proportion ?24=23\frac{?}{24}=\frac{2}{3}24?​=32​. Also, calculate the cost of 8 movie tickets if 2 cost \$16.

Studdy Solution

STEP 1

Assumptions1. The proportion is ?24=3\frac{?}{24}=\frac{}{3}24?​=3​, where "?" is the unknown quantity we are trying to find. . The proportion is a statement of equality between two ratios.

STEP 2

STEP 3

implify the equation to solve for the unknown quantity.?=24times23? = \frac{24 \\times2}{3}?=324times2​

STEP 4

Calculate the value of the unknown quantity.?=24times23=16? = \frac{24 \\times2}{3} =16?=324times2​=16So, the unknown quantity in the proportion is16.

STEP 5

Assumptions1. The cost of two movie tickets is $16.2. The cost of movie tickets is the same for all tickets.3. We want to find the cost of eight tickets.

STEP 6

To find the cost of eight tickets, we can set up a proportion. The ratio of the cost of two tickets to the number of tickets (2) is equal to the ratio of the cost of eight tickets (which we're trying to find) to the number of tickets (8).162=?8\frac{16}{2} = \frac{?}{8}216​=8?​

STEP 7

STEP 8

implify the equation to solve for the unknown quantity.?=16times82? = \frac{16 \\times8}{2}?=216times8​

STEP 9

Calculate the value of the unknown quantity.?=16times82=$64? = \frac{16 \\times8}{2} = \$64?=216times8​=$64So, the cost of eight movie tickets is $64.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the unknown in the proportion $\frac{?}{24}=\frac{2}{3}$ . Also, calculate the cost of 8 movie tickets if 2 cost \$16.

Assumptions1. The proportion is $\frac{?}{24}=\frac{}{3}$ , where "?" is the unknown quantity we are trying to find. . The proportion is a statement of equality between two ratios.

implify the equation to solve for the unknown quantity.
$? = \frac{24 \\times2}{3}$

Calculate the value of the unknown quantity.
$? = \frac{24 \\times2}{3} =16$ So, the unknown quantity in the proportion is16.

Assumptions1. The cost of two movie tickets is $16.
2. The cost of movie tickets is the same for all tickets.
3. We want to find the cost of eight tickets.

To find the cost of eight tickets, we can set up a proportion. The ratio of the cost of two tickets to the number of tickets (2) is equal to the ratio of the cost of eight tickets (which we're trying to find) to the number of tickets (8).
$\frac{16}{2} = \frac{?}{8}$

implify the equation to solve for the unknown quantity.
$? = \frac{16 \\times8}{2}$

Calculate the value of the unknown quantity.
$? = \frac{16 \\times8}{2} = \$64$ So, the cost of eight movie tickets is $64.