Caroline has 5 times as many paper clips as Trevon. After Trevon buys another 500 paper clips, he has 268 paper clips fewer than

Question

3 years ago

8

Caroline. How many paper clips does Trevon have now?

1 answer:

nikitadnepr [17] · Answer 1 · 2022-03-01T18:58:59+03:00

Trevon have 692 paper clips after buying 500 more clips.

Step-by-step explanation:

Let,

Paper clips Caroline have = x

Paper clips Trevon have = y

According to given statement;

x = 5y Eqn 1

After Trevon buys another 500 paper clips, he has 268 paper clips fewer than Caroline.

y + 500 = x - 268

y + 500 +268 = x

y + 768 = x Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$y+768 = 5y\\768=5y-y\\768 = 4y\\4y=768$

Dividing both sides by 4

$\frac{4y}{4}=\frac{768}{4}\\y=192$

Number of paper clips Trevon has now = y+500 = 192+500 = 692

Trevon have 692 paper clips after buying 500 more clips.

Keywords: linear equation, substitution method

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