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Mr. Hammond is the volunteer coordinator for a company that puts on running races. Last year, the company organized 7 short races and 8 long races, which required a total of 804 volunteers. This year, the company organized 11 short races and 5 long races, which required 688 volunteers in total. How many volunteers does each type of race require?
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Let the volunteers of
Long race be x
Short race be y
7y + 8x = 804 ... .. (i)
11y + 5x = 688 ... .. (ii)
5(i) - 8(ii)
35y + 40x = 4020
88y + 40x = 5504
On solving the above equations,
y = 28 , x = 76
i.e., volunteers of Long race = x = 76
volunteers of Short race = y = 28
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