Math / Algebra

QuestionA total of 560 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold? adult tickets

Studdy Solution

STEP 1

1. Let $a$ represent the number of adult tickets sold.
2. Let $s$ represent the number of student tickets sold.
3. The total number of tickets sold is 560.
4. The number of student tickets sold is three times the number of adult tickets sold.

STEP 2

1. Set up the equations based on the given information.
2. Solve for $a$ using substitution.

STEP 3

Express the relationship between the number of student tickets and adult tickets. $s = 3a$

STEP 4

Express the total number of tickets sold using the variable $a$ and the relationship found in STEP_1. $a + s = 560$

STEP 5

Substitute the expression for $s$ from STEP_1 into the total tickets equation from STEP_2. $a + 3a = 560$

STEP 6

Combine like terms to simplify the equation. $4a = 560$

STEP 7

Solve for $a$ by dividing both sides of the equation by 4. $a = \frac{560}{4}$ $a = 140$
Solution: The number of adult tickets sold is $140$ .

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QuestionA total of 560 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold? adult tickets

Studdy Solution

STEP 1

1. Let $a$ represent the number of adult tickets sold.
2. Let $s$ represent the number of student tickets sold.
3. The total number of tickets sold is 560.
4. The number of student tickets sold is three times the number of adult tickets sold.

STEP 2

1. Set up the equations based on the given information.
2. Solve for $a$ using substitution.

STEP 3

Express the relationship between the number of student tickets and adult tickets. $s = 3a$

STEP 4

Express the total number of tickets sold using the variable $a$ and the relationship found in STEP_1. $a + s = 560$

STEP 5

Substitute the expression for $s$ from STEP_1 into the total tickets equation from STEP_2. $a + 3a = 560$

STEP 6

Combine like terms to simplify the equation. $4a = 560$

STEP 7

Solve for $a$ by dividing both sides of the equation by 4. $a = \frac{560}{4}$ $a = 140$
Solution: The number of adult tickets sold is $140$ .

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QuestionA total of 560 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold? adult tickets

Studdy Solution

STEP 1

1. Let aaa represent the number of adult tickets sold.2. Let sss represent the number of student tickets sold.3. The total number of tickets sold is 560.4. The number of student tickets sold is three times the number of adult tickets sold.

STEP 2

1. Set up the equations based on the given information.2. Solve for aaa using substitution.

STEP 3

Express the relationship between the number of student tickets and adult tickets. s=3a s = 3a s=3a

STEP 4

Express the total number of tickets sold using the variable aaa and the relationship found in STEP_1. a+s=560 a + s = 560 a+s=560

STEP 5

Substitute the expression for sss from STEP_1 into the total tickets equation from STEP_2. a+3a=560 a + 3a = 560 a+3a=560

STEP 6

Combine like terms to simplify the equation. 4a=560 4a = 560 4a=560

STEP 7

Solve for aaa by dividing both sides of the equation by 4. a=5604 a = \frac{560}{4} a=4560​ a=140 a = 140 a=140Solution: The number of adult tickets sold is 140140140.

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1. Let $a$ represent the number of adult tickets sold.
2. Let $s$ represent the number of student tickets sold.
3. The total number of tickets sold is 560.
4. The number of student tickets sold is three times the number of adult tickets sold.

1. Set up the equations based on the given information.
2. Solve for $a$ using substitution.

Express the relationship between the number of student tickets and adult tickets. $s = 3a$

Express the total number of tickets sold using the variable $a$ and the relationship found in STEP_1. $a + s = 560$

Substitute the expression for $s$ from STEP_1 into the total tickets equation from STEP_2. $a + 3a = 560$

Combine like terms to simplify the equation. $4a = 560$

Solve for $a$ by dividing both sides of the equation by 4. $a = \frac{560}{4}$ $a = 140$
Solution: The number of adult tickets sold is $140$ .