Respuesta :
Answer:
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
The difference in the marks of the other two when the ratio of Joe's mark to Ann's mark to Maiseybelle's mark was 8:6:11 is 45.
Calculation of the difference:
Since the ratio of Joe's mark to Ann's mark to Maiseybelle's mark was 8:6:11. And, Joe got 72.
So,
Let us assume Joe's marks be 8x, Anna's mark be 6x and Ellas's marks be 11x.
so based on this,
8x = 72
x = 9
Now
Anna's marks = 6x = 9(6)=54
Ella's marks = 11x= 9(11)=99
So,
Difference should be
= 99-54
=45
hence, The difference in the marks of the other two when the ratio of Joe's mark to Ann's mark to Maiseybelle's mark was 8:6:11 is 45.
Learn more about ratio here: https://brainly.com/question/3974756
