Question

A bag contains​ pennies, nickels,​ dimes, and quarters. There are 50 coins in all. Of the​ coins, ​16% are pennies and 40​% are dimes. There are 5 more nickels than pennies. How much money does the bag​ contain?

Answer 1

ANSWER: $4.98

Steps for pennies:

1.) 50 * .16 = 8

8 pennies out of 50 coins

2.) 1 cent * 8 = 8 cents

Steps for dimes:

1.) 50 * .40 = 20

20 dimes out of 50 coins

2.) 10 cents * 20 = 200 cents = $2

Steps for nickels:

1.) 8 + 5 = 13

13 nickels out of 50 coins

2.) 5 cents * 13 = 65 cents

Steps for quarters:

1. 8 + 20 + 13 = 41

2. 50 - 41 = 9

3. 9 * .25 = $2.25

FINAL STEP:

8 cents + $2 + 65 cents + $2.25 = $4.98

ANSWER: the bag contained $4.98

*to change a percentage into a decimal move the decimal point 2 places to the left. Ex.) 50% > 50. > .50

50% = .50

Answer 2

$4.98

Explanation:

50*16%=8 (pennies), 50*40%=20 (dimes)

8+5=13 (nickels), 50-(8+20+13)=9 (quarters)

So the money in total is 8*0.01+20*0.1+13*0.05+9*0.25=$4.98