Write an inequality for the word problem and answer the question about the inequality. Eric has an equal number of dimes and quarters that total less than 4 dollars. Could he have 12 dimes

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AdelizX393102 AdelizX393102

03-11-2022
Mathematics

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Write an inequality for the word problem and answer the question about the inequality. Eric has an equal number of dimes and quarters that total less than 4 dollars. Could he have 12 dimes

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KaiS140050 KaiS140050 · Answer 1 · 2022-11-03T14:25:38+01:00

Write an inequality for the word problem and answer the question about the inequality. Eric has an equal number of dimes and quarters that total less than 4 dollars. Could he have 12 dimes

Let

x -----> number of dimes coin

y -----> number of quarters coin

we have that

x=y ------> equation 1

and

0.10x+0.25y < 4 ------> inequality 1

substitute equation 1 in inequality 1

0.10x+0.25x < 4

solve for x

0.35x<4

x < 11.4

For 12 dimes

the value of x=12 not satisfy the inequality

that means

He couldn't have 12 dimes