After delivering her newspapers, Vanessa noticed that she had 5 fewer quarters than dimes. Her dimes and quarters totaled $1.55. How many quarters does she have?

pobi1k

pobi1k

Answered question

2022-09-04

After delivering her newspapers, Vanessa noticed that she had 5 fewer quarters than dimes. Her dimes and quarters totaled $1.55. How many quarters does she have?

Answer & Explanation

Theodore Dyer

Theodore Dyer

Beginner2022-09-05Added 10 answers

Let: x=amount of quarters
y=amount of dimes
Then you know:
x = y 5 x + 5 = y
.1y+.25x=1.55
Plug in for y:
.1(x+5)+.25x=1.55
.1x+.5+.25x=1.55
Add like terms:
.35x+.5=1.55
-.5=-.5
.35x=1.05
Divide to solve for x:
x=3
Vanessa has 3 quarters
equipokypip1

equipokypip1

Beginner2022-09-06Added 5 answers

5d+q= 1.55
The easiest method is actually to simply guess and check by increasing dimes and quarters each by one respectively. That is to say .50 + 0 = .50, .60 +.25 = .85, .70 +.50 = 1.25, .80+.75 =1.55.

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