Question

Three friends get a prize of $1,000. If one of them contributed $14, the other $9, and the third $17, how much corresponds to each one if the distribution of the prize must be made proportional to their contributions?

a. $420, $270, $310
b. $510, $280, $210
c. $480, $260, $260
d. $360, $230, $410

Answer 1

To distribute the $1,000 prize proportionally among the three friends who contributed $14, $9, and $17, we calculate each friend's share by dividing their contribution by the total contribution and then multiplying by the total prize. The distribution amounts are $350, $225, and $425 respectively.

Step-by-step explanation:

The question asks how to distribute a $1,000 prize among three friends based on their contributions to a fund. The contributions are $14, $9, and $17 respectively. First, we calculate the total contribution made by all friends, which is $14 + $9 + $17 = $40.

Next, we find the proportion of each friend's contribution to the total contribution. For the first friend: $14 / $40, for the second friend: $9 / $40, and for the third friend: $17 / $40. We then use these proportions to distribute the $1,000 prize. For the first friend: (14/40) × 1000 = $350, for the second friend: (9/40) × 1000 = $225, and for the third friend: (17/40) × 1000 = $425.