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Sagot :
Answers:
- April = $50
- May = $40
- June = $48
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Work Shown:
x = amount April has
0.80x = amount May has
1.20*0.80x = 0.96x = amount June has
The sum of the three amounts adds to 138
(april) + (may) + (june) = 138
(x) + (0.80x) + (0.96x) = 138
2.76x = 138
x = 138/2.76
x = 50 is the amount April has
0.80x = 0.80*50 = 40 is the amount May has
0.96x = 0.96*50 = 48 is the amount June has
As a check, 50+40+48 = 90+48 = 138 to verify the answer.
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Side notes:
- Since May has 20% less than April, this means May has 80% of April's amount, which is where the 0.80 comes from in 0.80x; put another way, decreasing by 20% means we use the multiplier 0.80
- Increasing by 20% means we use the multiplier 1.20
- 48/40 = 1.20
- Decreasing by 20% and then increasing by 20% will not lead you back to the original value (since we go from 50 to 40 then up to 48). This is because we're increasing by a smaller amount compared to the amount decreased earlier, i.e. 20% of a smaller value is smaller overall.
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