Bob has 60 coins consisting of quarters and dimes The coins combined value is 9.45 How many are quarters and how many are dimes?

Answer 1

there are

23 quarters

37 dimes

to do this use simultaneous equations

to make this simpler i will assign variables to amount of quarters and dimes

x-quarters

y-dimes

you know you have 60 coins, so amount of quarters plus dimes is 60

x+y=60

you also know the amount is equal to $9.45

since quarters are $0.25 and dimes are $0.10 another equation can be made

0.25x+0.10y=9.45

this equation shows what you do when you count your change

now solve the first equation for a variable using algebra

x=60-y

you can then plug this new value into your second equation

0.25(60-y)+0.1y=9.45

you can now solve for y, which is the number of dimes

y=37

now plug this number back into x=60-y to get the amount of quarters

x=60-(37)

x=23

23 quarters

37 dimes