Question

A handful of coins has the value of 1 dollar and 79 cents. There are three times as many dimes as quarters, and five more pennies than dimes. If there are only three types of coins, how many coins of each type are there?

Answer 1

Explanation:

there are 3 quarters , 9 dimes , 14 pennies.

Answer 2

Answer: There are 3 quarters , 9 dimes and 14 pennies.

Explanation:

Let x= Number of quarters

Then, Number of dimes = 3x

Number of pennies = 3x+5

1 quarter = $ 0.25

1 dime = $0.10

1 penny = $ 0.01

So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)

= 0.25x+0.30x+ 0.03x+0.05

= 0.58x+0.05

Since Total amount = 1 dollar and 79 cents = $ 1.79 [1 cent = $ 0.01]

So,

`0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=(1.74)/(0.58)\\\\\Rightarrow x=3`

Thus, there are 3 quarters , 9 dimes , 14 pennies.