The ratio of nickles, dimes, and quarters in a jar is 3 : 4 : 7 respectively. If there are total 112 coins in a jar how many of them are nickles?

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.