Aku, Ama and Esi shared an amount of money ratio 3:5:7 respectively. Esi and Aku together has Gh2,100.00. Calculate the
i. total amount of money shared
ii.the amount Ama had
the shares are 3x,5x,7x
7x+3x = 2100
x = 210
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To solve this problem, we'll follow a step-by-step approach:
Step 1: Write out the given information:
- The ratio of the amount of money shared by Aku, Ama, and Esi is 3:5:7 respectively.
- Esi and Aku together have a total of Gh2,100.00.
Step 2: Determine the value of the ratio:
To find the value of the ratio, add up the two parts of the ratio that are given and divide the sum by the given total.
3 (Aku's share) + 7 (Esi's share) = 10 (the sum of the two parts of the ratio)
Given total: Gh2,100.00
To find the value of one part of the ratio, divide the given total (Gh2,100.00) by the sum of the two parts of the ratio that were given (10).
Gh2,100.00 ÷ 10 = Gh210.00
Therefore, one part of the ratio is equal to Gh210.00.
Step 3: Calculate the total amount of money shared:
Multiply each part of the ratio by the value of one part of the ratio.
Aku's share: 3 parts × Gh210.00 = Gh630.00
Ama's share: 5 parts × Gh210.00 = Gh1,050.00
Esi's share: 7 parts × Gh210.00 = Gh1,470.00
To find the total amount of money shared, sum up the amounts:
Gh630.00 + Gh1,050.00 + Gh1,470.00 = Gh3,150.00
Therefore, the total amount of money shared is Gh3,150.00.
Step 4: Calculate the amount Ama had:
According to the given information, Ama's share is Gh1,050.00.
Therefore, the amount Ama had is Gh1,050.00.
To summarize:
i. The total amount of money shared is Gh3,150.00.
ii. Ama had Gh1,050.00.