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# In a weight-lifting competition, the average (arithmetic mean) of Tom'

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Math Expert
Joined: 02 Sep 2009
Posts: 47918
In a weight-lifting competition, the average (arithmetic mean) of Tom'  [#permalink]

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03 Jan 2018, 21:23
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67% (01:25) correct 33% (01:21) wrong based on 9 sessions

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In a weight-lifting competition, the average (arithmetic mean) of Tom's two lifts was 375 pounds. If twice the weight of his first lift was 300 more pounds than the weight of his second lift, what is the weight, in pounds of his first lift?

A. 225
B. 300
C. 350
D. 372
E. 450

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In a weight-lifting competition, the average (arithmetic mean) of Tom'  [#permalink]

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03 Jan 2018, 21:57
Bunuel wrote:
In a weight-lifting competition, the average (arithmetic mean) of Tom's two lifts was 375 pounds. If twice the weight of his first lift was 300 more pounds than the weight of his second lift, what is the weight, in pounds of his first lift?

A. 225
B. 300
C. 350
D. 372
E. 450

The average of F, first and second, S, lifts was 375 pounds

$$\frac{F + S}{2}=375$$
$$F + S = 750$$

Twice the weight of his first lift was 300 more pounds than the weight of his second lift
$$2F = S + 300$$
$$S = 2F - 300$$

$$F + S = 750$$
$$F + 2F - 300 = 750$$
$$3F = 1050$$
$$F = 350$$

Using the answer choices on this question would be fast, too, I think.
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In a weight-lifting competition, the average (arithmetic mean) of Tom' &nbs [#permalink] 03 Jan 2018, 21:57
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