Can you work out this percentage problem?
Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that type A trees produced 20 percent more pears than type B trees did. Based on Katarina's observation, if the type A trees produced 144 pears, how many pears did the type B trees produce?
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3 solutions
Yes! This is the correct solution.
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Why should we not subtract 20% from 144 i.e 144-28.8=115.2
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@Dil Bose If we want to subtract 20%, we must subtract 20% of the number of pears produced by Type B trees. That is because: Production of Type B trees = 1 2 0 % of x − 2 0 % of x What you're doing is subtracting 20% of the production of Type A trees. This can be mathematically represented as: 1 2 0 % of x − 2 0 % of ( 1 2 0 % of x ) = x
Here we can see that Tree A (144 pears) is 120% MORE from Tree B. Therefore, 144/1.20 = 120 pears.
We can check our answer is we add 20% from Tree B (120 pears) 120*1.20 = 144.
It says 20 percent
Excellent and concise solution.
Let B = x So A = x + x* 1 0 0 2 0 now we will take x common out so A = x(1 + 1 0 0 2 0 ) A = x( 1 0 0 1 2 0 ) So A = x * 1 0 0 1 2 0 = 144 = x * 1 0 0 1 2 0 * 100 = 144 * 100 = x * 120 = 14400 = x * 120 * 1 2 0 1 = 1440 * 1 2 0 1 = x = 1 2 0 1 4 4 0 0 So B = x = 1 2 0 1 4 4 0 0 = "120"
According to the question, if type A trees produce 2 0 % more pears than type B,then it means that the production of type A trees is 1 2 0 % of the production of type B trees. Let x be the production of type B trees, then we have: 1 4 4 1 4 4 1 4 4 × 1 2 0 1 0 0 ⟹ = 1 2 0 % of x = 1 0 0 1 2 0 × x = x x = 1 2 0