Math percent 6-5

Question

A bag contains​ pennies, nickels,​ dimes, and quarters. There are 50 coins in all. Of the​ coins, ​14% are pennies and ​32% are dimes. There are 7 more nickels than pennies. How much money does the bag​ contain?

Answer 1

n+d+q = 50 coins in the bag

n=p+7, 7 more nickels than pennies

14% of 50 are pennies = .14(50) = 7 pennies = p

32% of 50 are dimes = .32(50) = 16 dimes = d

n=7+7 =14 nickels

14+16+q = 50

q = 50-30 = 20 quarters

.05n +.10d +.25q

=.05(14)+.1(16)+.25(20)

= .7 +1.6 +5

=7.3 = $7.30 total