SOLUTION: Hi Josh had the same number of 20c 50c and $1 coins at first. After using 59 20c coins some 50c coins and some $1 coins, he had 88 coins left. There were 3 times as many 50c coins

Question 1175513: Hi
Josh had the same number of 20c 50c and $1 coins at first. After using 59 20c coins some 50c coins and some $1 coins, he had 88 coins left. There were 3 times as many 50c coins as $1 coins left. There were also 31 more 50c coins than 20c coins left.
How many $1 coins did Josh use.
Thanks

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

He started with the same number x of each coin.

He used 59 20c coins, so the number of 20c coins he had left was x-59.

He was left with 31 more 50c coins than 20c coins, so the number of 50c coins he had left was (x-59)+31 = x-28.

He was left with 3 times as many 50c coins as $1 coins, so the number of $1 coins he had left was (x-28)/3.

The total number of coins he had left was 88:

The number of $1 coins he had left was (x-28)/3 = (79-28)/3 = 51/3 = 17.

So the number of $1 coins he used was 79-17 = 62.

ANSWER: Josh used 62 $1 coins.

RELATED QUESTIONS
Hi John has 36 coins comprising 20c 50c and $1 coins. He has twice as many $1 coins as... (answered by Theo,josgarithmetic,ikleyn,greenestamps,MathTherapy)

In how many different ways can a bill of $1.25 be paid using 20 cent, 25 cent and 50 cent (answered by checkley79)

Hi box A contains 1 dollar coins, box B contains 50c coins and box C 20c coins. Box A... (answered by solver91311)

if i had 1 $2, 1 $1, 4 50c, 5 20c and 5 10c coins what are the different ways I can make... (answered by greenestamps,Edwin McCravy)

On a table are two boxes. One box contains only 50c coins and the other contains only 20c (answered by josgarithmetic)

Jimmy has fifteen coins in his pocket - eight 20c coins, four 50c coins and three $1... (answered by robertb)

Hi There are some 20c coins in box A and some 50c coins in box B . If 40 coins are... (answered by ikleyn)

I have 50c coins and 20c coins. In total I have 8 coins with a total value of R3,10. How... (answered by Edwin McCravy)

A piggy bank contains only 20c and 50c coins. There are 60 coins in total and their... (answered by josgarithmetic)