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

Zack Riggs

Mathematics

27 July, 00:22

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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Sierra Evans · 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.