MONEY Chris has saved twice the number of quarters that Nora saved plus 6. Thenumber of quarters Chris saved is also five times the difference of the number ofquarters and 3 that Nora has saved. Write and solve an equation to find thenumber of quarters they each have saved.

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KeoniZ512585 KeoniZ512585 · Answer 1 · 2022-10-29T01:05:59+02:00

EXPLANATION

Assuming that y represents the savings of Chris and x represent the savings of Nora, we can apply the following relationships:

(1) y= 2x + 6

(2) y = 5(x-3)

Now, we need to match both equations in order to find x:

2x + 6 = 5(x-3)

Applying the distributive property:

2x + 6 = 5x - 15

Subtracting -2x to both sides:

6 = 5x -2x - 15

Adding +15 to both sides:

6 + 15 = 5x - 2x

Adding numbers:

21 = 3x

Dividing both sides by 3:

21/3 = x

Simplifying:

7 = x

Switching sides:

x = 7

Plugging in x=7 into y= 2x + 6:

y = 2*7 + 6

Multiplying and adding terms:

y = 14 + 6

Adding numbers:

y = 20

Hence, the number of quarters they each have saved are:

Chris = 20 quarters

Nora = 7 quarters