Question

kesha has a total of 140 coins, all of which are either dimes or quarters. the total value of the coins is $27.50. find the number of each type of coin

Answer 1

50 dimes and 90 quarters

Explanation:

This problem you will need 2 equations

1. D + Q = 140 ( shows the total amount of coins)

2. 0.1D + 0.25Q= 27.50 ( shows the total cost)

The best way to do this is by substitution

To get D by itself the first equation would turn into D= 140-Q

Plug 140-Q into the second equation where you see D and solve for Q

Once you solve it you should get Q=90 then to get D it would be 140-90 which gives you D=50.