Question

I need help on question 76

Answer 1

There are 78 pennies and 53 nickels in the jar

System of linear equations

From the question, we are to determine the number of pennies and nickels in the jar

Let p represent the number of pennies

and

n represent the number of nickels

From the given information,

She counted them and found that there were 131 coins worth $3.43

Then, we can write that

p + n = 131 ---------- (1)

and

0.01p + 0.05n = 3.43 ---------- (2)

NOTE: 1 penny = $0.01

and

1 nickel = $0.05

Solve the two equations simultaneously

From equation (1)

p + n = 131

p = 131 - n  --------- (3)

Substitute into the equation (2)

0.01p + 0.05n = 3.43

0.01(131 - n) + 0.05n = 3.43

1.31 - 0.01n + 0.05n = 3.43

- 0.01n + 0.05n = 3.43 - 1.31

0.04n = 2.12

n = 2.12/0.04

n = 53

Substitute the value of n into equation (3)

p = 131 - n

p = 131 - 53

p = 78

Hence, there are 78 pennies and 53 nickels in the jar

Learn more on System of Linear equations here: brainly.com/question/13729904

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