On a recent test, the ratio of Joe's mark to Ann's

mark to Maiseybelle's mark was 8:6:11. If Joe

got 72, what was the difference in the marks of

the other two?

The difference in the marks of Anna and Maiseybelle's was 45

Step-by-step explanation:

Let us use the ratio method to solve the problem

∵ The ratio of Joe's mark to Ann's mark to Maiseybelle's mark

was 8 : 6 : 11

∵ Joe got 72

By using the ratio method

→ Joe : Ann : Maiseybelle

→ 8 : 6 : 11

→ 72 : x : y

By using cross multiplication

∵ 8 * x = 72 * 6

∴ 8 x = 432

- Divide both sides by 8

∴ x = 54

∵ 8 * y = 72 * 11

∴ 8 y = 792

- Divide both sides by 8

∴ y = 99

∵ x represents Ann's mark

∴ Ann got 54

∵ y represents Maiseybelle's mark

∴ Maiseybelle's got 99

Let us find the difference between Ann's mark and Maiseybelle's mark

∵ 99 - 54 = 45

∴ The difference between Ann's mark and Maiseybelle's mark is 45

The difference in the marks of Anna and Maiseybelle's was 45