Ashley has 36 coins totaling $4.20 in quarters and dimes. How many of each coin does she have?

Guest Feb 19, 2021

#1**+2 **

d = dimes value = 10d

q = quarters = 36 -d value = 25 (36-d) the values summed = 420

10d + 25(36-d) = 420 solve for d =# dimes then # q = 36-d

ElectricPavlov Feb 19, 2021

#2**+2 **

q + d = 36

25q + 10d = 420

q = 36 - d

25 (36 - d) + 10d = 420

900 - 25d + 10d = 420

900 - 15d = 420

15d = 480

d = 32

q + d = 36

q + (32) = 36

q = 4

There are 4 quarters and 32 dimes

Logarhythm Feb 19, 2021

#3**+1 **

*Ashley has 36 coins totaling $4.20 in quarters and dimes. How many of each coin does she have?*

If all 36 coins were dimes, then Ashley would have 3**.**60

However, Ashley has 4**.**20, so we have to raise the total by 0**.**60

Every time you substitute a quarter for a dime, you gain 0**.**15

If you substitute four quarters for four dimes, you gain 0**.**60

So, Ashley has **4 quarters** and **32 dimes**

_{.}

Guest Feb 19, 2021