math question?

Question

the coin box of a vending machine contains 6 times as many quarters as it dose dimes. if the total amount of money in quarters and dimes is 28.80, how many quarters and dimes are in the box??
if you could elxplain your answer or write it out that would be very helpful

Answer 1

Lets say number of dimes = d
Since there are 6 times the quarters, therefore number of quarters= 6d

A quarter has a value of $0.25
A dime has a value of $ 0.10

So if I multiply the value of the coin, with how many of them there are, I will get how much money in total there is.


d dimes PLUS 6d Quarters will equal $28.80


d($0.10) + 6d($0.25) = $28.80

0.1d + 1.5d = 28.80

1.6d = 28.80

Divide both sides by 1.6

d = 18

So this means that there are 18 DIMES

AND

there are 6 times the quarters

so there are 6 x 18 = 108 quarters

Is that Clear? Let me know

Answer 2

x= number of dimes (thus, 6x=number of quarters)

0.10 (x) + 0.25 (6x) = 28.80
.1x + 1.5x = 28.80
1.6x = 28.80
/1.6 /1.6
x = 18

because x=18, there are 18 dimes and 18 x 6, or 108, quarters.