Question

Total amount of money shared between three friends is $4500. Sian, Joanne, and Anesha. Sian got $2250, Anesha got $1050, and Joanne got $1200. What is the ratio of the $4500 divided between the three friends? Explain your answer.

a) 5:3:7
b) 3:5:7
c) 5:7:3
d) 7:5:3

Answer 1

To find the ratio of the $4500 shared between Sian, Joanne, and Anesha, divide each person's amount by the greatest common divisor, which is $150, resulting in a ratio of 15:8:7. However, this ratio is not listed in the given options.

Step-by-step explanation:

The question pertains to finding the ratio of the amounts divided between the three friends: Sian, Joanne, and Anesha, who have $2250, $1200, and $1050, respectively, from a total of $4500. To determine the ratio, we divide each person's amount by the greatest common divisor of all three amounts.

Sian: $2250
Joanne: $1200
Anesha: $1050

The greatest common divisor that works for all three amounts is $150. Dividing each person's share by $150 gives us:

• Sian: $2250 / $150 = 15
• Joanne: $1200 / $150 = 8
• Anesha: $1050 / $150 = 7

Therefore, the ratio of their shared amounts is 15:8:7. However, this ratio is not listed in the options provided. The correct approach is applied but none of the answer choices match the calculated ratio. There could be a mistake in the question options or in the given amounts.