jackie has a jar with dimes and quarters in it the jar has 7 more quarters than it has dimes if the value of the coins is 5.60 dollars how many quarters are in

Question

It’s a equation with money 

Answer 1

since Jackie has 7 quarters more than dimes, if you want to make them equal you have to add 7 to the dimes or subtract 7 from the quarters.

 

q = d+7

 

Each quarter is 25 cents, or 0.25 of a dollar =0.25q
Each dime is 10 cents= 0.10d
:
0.25q+0.10d = 5.60

 

as  q = d+7. Substitute in this equation:
0.25(d+7)+0.10d = 5.60 


0.25d+1.75+0.10d = 5.60

0.35d = 3.85

d = 11

 

She has 11 dimes and 11+7 = 18 quarters.
------------------------------------------------
Check:
11*0.10 = 1.1
18*0.25 = 4.5

1.1 +4.5 =5.60

Answer 2

q = number of quarters

q - 7 = number of dimes

 

0.25q + 0.10(q - 7) = 5.60

 

Solve for q and finish from here.