Middle School

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A football player weighed 170 \(\frac{2}{3}\) pounds in May. During the summer, he gained 25 \(\frac{5}{12}\) pounds. During the first week of fall practice, he lost 10 \(\frac{1}{4}\) pounds, and during the second week, he lost another 3 \(\frac{1}{2}\) pounds.

How much does he weigh at this point?

A. 182 \(\frac{1}{3}\) lb
B. 181 \(\frac{1}{2}\) lb
C. 182 \(\frac{5}{12}\) lb
D. 183 \(\frac{2}{3}\) lb

Answer :

Answer:

182 1/3 lbs

Step-by-step explanation:

MAY: weight = 170 2/3

Summer: gained 25 5/12

New weight : 170 2/3 + 25 5/12

Get a common denominator of 12

170 2/3 *4/4 + 25 5/12

170 8/12 + 25 5/12 = 195 13/12

The he lost 10 1/4 during the first week of fall practice

195 13/12 - 10 1/4

We need to get a common denominator of 12

195 13/12 - 10 1/4*3/3

195 13/12 - 10 3/12

185 10/12

The he lost another 3 1/2 pound during the second week

185 10/12 - 3 1/2

We need to get a common denominator of 12

185 10/12 - 3 1/2 * 6/6

185 10/12 - 3 6/12

182 4/12

Simplify the fraction

182 1/3 lbs

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Rewritten by : Barada

Answer:

182 1/3 lbs

Step-by-step explanation:

MAY: weight = 170 2/3

Summer: gained 25 5/12

New weight : 170 2/3 + 25 5/12

Get a common denominator of 12

170 2/3 *4/4 + 25 5/12

170 8/12 + 25 5/12 = 195 13/12

The he lost 10 1/4 during the first week of fall practice

195 13/12 - 10 1/4

We need to get a common denominator of 12

195 13/12 - 10 1/4*3/3

195 13/12 - 10 3/12

185 10/12

The he lost another 3 1/2 pound during the second week

185 10/12 - 3 1/2

We need to get a common denominator of 12

185 10/12 - 3 1/2 * 6/6

185 10/12 - 3 6/12

182 4/12

Simplify the fraction

And that is your answer 182 1/3 lbs