Question

HELP!!!

Marco solved this problem:

A coin purse has quarters and dimes totaling $5.40. If the purse has 30 coins, how many of each coin are in the purse?

Complete the statement about Marco’s solution.

Pennies
Nickels
Dimes
Quarters

Answer 1

Answer:answer in image

Explanation:

Answer 2

`16` is the number of quarters and
`14` is the number of dimes

Explanation:

we know that

`1\ dime=\$0.10`

`1\ quarter=\$0.25`

Let

x-----> the number of dimes

y------> the number of quarters

we know that

`0.10x+0.25y=5.40` -----> equation A

`x+y=30` ----Isolate the variable y

`y=30-x` -----> equation B

Substitute equation B in equation A

`0.10x+0.25(30-x)=5.40`

`0.10x+7.5-0.25x=5.40`

`0.25x-0.10x=7.5-5.40`

`0.15x=2.1`

`x=14\ dimes`

Find the value of y

`y=30-x`

`y=30-14=16\ quarters`

therefore

`16` is the number of quarters and
`14` is the number of dimes