When their report cards came back, Pete, Chris, and Dina realized that the number of A's they each received was in the ratio 4:2:5. If Pete got 14 more A's than Chris, how many A's did Dina get?

The number of A's Dina got = 5/11 * 77 = 385 / 11 = 35

Step-by-step explanation:

The number of A's Pete, Chris and Dina received are in the ratio of 4:2:5.

Let the total number of A's = y

Total from ratio = 4 + 2 + 5 = 11

chris A's = 2/11 * y

pete's A's = 2/11 * y + 14 = 4/11 * y

pete's A's

2/11 y + 14 = 4/11 y

14 = 4/11 (y) - 2/11 (y)

14 = 2/11 (y)

cross multiply

2y = 14 * 11

divide both sides by 2

y = 154/2

y = 77

Total number of A's = 77

The number of A's Dina got = 5/11 * 77 = 385 / 11 = 35