11.6k views
3 votes
There are 142 coins in a piggy bank with a total value of $20.50. If all the coins are either quarters or nickels, which system would you use to determine how many of each type of coin are in the piggy bank?

2 Answers

5 votes

Answer:

Number of quarters = 67

Number of nickels = 75

Explanation:

Please kindly check the attached files for explanation.

There are 142 coins in a piggy bank with a total value of $20.50. If all the coins-example-1
There are 142 coins in a piggy bank with a total value of $20.50. If all the coins-example-2
User Dropson
by
8.2k points
4 votes

Answer:

Quarters = 67

Nickel = 75

Explanation:

Using simultaneous equations.

Let x represent the number of quarters and y the number of nickel.

1 quarter = $0.25

1 nickel = $0.05

Given;

Total number of coin = 142

So,

x + y = 142 ....1

Total value = $20.50

0.25x + 0.05y = 20.50 ......2

Divide equation 2 by 0.25;

x + 0.20y = 82 .....3

Subtract equation 3 from 1

y - 0.20y = 142-82

0.80y = 60

y = 60/0.80

y = 75

from equation 1

x+y = 142

x = 142-y = 142-75

x = 67

Number of each coin.

Quarters = 67

Nickel = 75

User Knetsi
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories