Question

Noel and Peter had 78 marbles altogether. After Noel lost 16 marbles and Peter's mother gave him another 18 marbles, Peter had 4 times as many marbles as Noel. How many marbles did Noel have at first?

Answer 1

Noel has 16 marbles and Peter has 64

Explanation:

Originally Noel and Peter had 78 marbles, but once Noel lost 16 marbles and Peter gained 16 marbles then together they now have 80 marbles (78 -16 + 18)

Let n = the number of Noel's marbles

Let p = the number of Peter's marbles

4n = p

n + p = 80 Substitute 4n for p and solve for n

n + 4n = 80 Combine like terms

5n = 80 Divide both sides by 5

n = 16

Noel has 16 marbles.

n + p = 80 Substitute 16 for n and solve for p

16 + p = 80 Subtract 16 from both sides

p = 64

Peter has 64 marbles.

Helping in the name of Jesus.