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
[tex]y+768 = 5y\\768=5y-y\\768 = 4y\\4y=768[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{768}{4}\\y=192[/tex]
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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