The Complete Guide to SAT Math Word Problems - Free Printable

We are told:

- Type A trees produced 20% more pears than Type B trees.
- Type A trees produced 144 pears.
- We need to find how many pears Type B trees produced.

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Let’s define:

Let $ x $ be the number of pears produced by Type B trees.

Since Type A produced 20% more than Type B, we can write:

$$
\text{Type A} = x + 0.20x = 1.20x
$$

We know Type A produced 144 pears:

$$
1.20x = 144
$$

Now solve for $ x $:

$$
x = \frac{144}{1.20}
$$

$$
x = 120
$$

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So, Type B trees produced 120 pears.

✔ Answer: B) 120

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Explanation:

The key is understanding that "20% more" means multiplying the original (Type B) amount by 1.20. Since we know the result (144), we divide by 1.20 to get back to the original value.

$$
\frac{144}{1.2} = 120
$$

Thus, the correct answer is B) 120.