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

Answer: 32

Step-by-step 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

$1.5y=33\\\\\Rightarrow\ y=\dfrac{33}{1.5}=22$

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

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

Hence, she has 32 dimes.

Answer 2

I'd say she has 32 dimes

hope that helps