Question

Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $10 and each roll of dimes has a value of $5. He exchanges $90 and receives 11 rolls of coins. How many of each type of roll of coins did he receive?

Answer 1

Answer:

7 roll of quarter and 4 roll of dimes.

Step-by-step explanation:

Let x be the number of rolls of quarters and y be the number of rolls of dimes,

Given,

Total rolls = 11

⇒ x + y = 11 ------(1),

Also, the total value of $ 90 in which Each roll of quarters has a value of $10 and each roll of dimes has a value of $5.

⇒ 10x + 5y = 90 ------(2),

Equation (2) - 5 × Equation (1),

We get,

5x = 90 - 55

⇒ 5x = 35 ⇒ x = 7

From equation (1),

7 + y = 11 ⇒ y = 4

Hence, the number of roll of quarters = 7,

And, the number of roll of dimes = 4

Answer 2

6 rolls of dimes = $30.

6 rolls of quarters = $60.