Ratio = 3 : 4 : 7 -> nickels : dimes : quarters
Total = 112 coins
3 + 4 + 7 = 14 coins in the jar to begin with
112 : 14 ratio -> end total : beginning total
Note: ratios can also be expressed as divisions or fractions
So...
112 / 14 = 8
Now you have to multiply each coin in the ratio by 8 to determine how much there are in a total of 112.
Nickel: 3 x 8 = 24
Dime: 4 x 8 = 32
Quarter: 7 x 8 = 56
New ratio of coins in total of 112 is
24 : 32 : 56
You can check my adding them up:
24 + 32 + 56 = 112
The question asks how many nickels would there be if there were a total of 112 coins and we can see in the new ratio that there would be 24 nickels.
Therefore, there is 24 nickels in a jar if there were a total of 112 coins.
