Question

8. Alysha has a collection of dime and nickel rolls that she'd like to take to the bank. Each dime roll has 50 dimes and each nickel roll has 40 nickels.

a) Write an equation to represent the total value of
b) If the total value of the coins is $71 and she has 9 rolls of dimes, how many does she have?

Answer 1

See explanation

Explanation:

Let x be the number of dime rolls and y be the number of nickels rolls.

Each dime roll has 50 dimes, then x dime rolls are worth
`50\cdot 10\cdot x=500x` cents or $5x.

Each nickel roll has 40 nickels, then y nickel rolls are worth
`40\cdot 5\cdot y =200y` cents or $2y.

A. The total value of Alysha's rolls is

`\$(5x+2y)`

or

`500x+200y\ \text{cents}`

B. If the total value of the coins is $71 and she has 9 rolls of dimes, then x = 9 and

`5\cdot 9+2y=71\\ \\2y+45=71\\ \\2y=71-45\\ \\2y=26\\ \\y=13`

Alysha has 13 nickel rolls.