You collect a total of $80 from 3 people. The 3 donation are in the ratio 3 : 3 : 10. How much do the two people that donate the same amount spend. Also how much larger is the largest donation than the smaller donations.

Question

Mathematics

Justine Beck

4 April, 23:00

You collect a total of $80 from 3 people. The 3 donation are in the ratio 3 : 3 : 10. How much do the two people that donate the same amount spend. Also how much larger is the largest donation than the smaller donations.

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Emma Cuevas · Answer 1

The ratio is 3 to 3 to 10. We can translate this to algebra with a replacement that the 3 people each donate 3x, 3x, and 10x dollars respectively. Adding these 3 variables together, we get that the total collected is 16x dollars, which is equal to 80 dollars. Therefore, each unit x donation from each person is 5 dollars. Therefore, the two people that donated the same amount would have donated 15 dollars each (3x = 3 * 5). The largest donation of 10x = 5*10 = 50 dollars is 50 - 15 = 35 dollars larger than the smaller donations.