Question

Janet has a jar of 54 coins consisting of dimes and quarters. If she has a total of $8.70, how many dimes does she have? 22 24 30 32

Answer 1

i'd say she has 32 dimes

hope that helps

Answer 2

Answer: 32

Explanation:

Let x be the number of dimes and y be the number of quarters Janet has.

We know that 1 dime = $0.1

1 quarter = $0.25

Given : Janet has a jar of 54 coins consisting of dimes and quarters.

i.e.
`x+y=54------(1)`

She has a total of $8.70.

i.e.
`0.1x+0.25y=8.70------------(2)`

Multiply equation (2) by 10 we get

`x+2.5y=87------------(3)`

Eliminate equation (1) from (3), we get

`1.5y=33\\\\\Rightarrow\ y=(33)/(1.5)=22`

Put value of y=22 in (1), we get

`x+22=54\\\\\Rightarrow\ x=54-22=32`

Hence, she has 32 dimes.