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Of the 800 sweaters in a certain store, 150 are red. How

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Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?

1) 320 of the sweaters at the store are neither red nor made of pool wool.
2) 100 of the red sweaters at the store are not made of pure wool.

The OA is B
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by ceilidh.erickson » Fri Mar 22, 2019 11:50 am
We can represent this problem as an OVERLAPPING SETS problem: red v. not red, wool v. not wool:

Image

Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?
We can also infer from the stem that 650 are not red:

Image

1) 320 of the sweaters at the store are neither red nor made of pool wool.
We can infer that 330 are wool but not red:

Image

... but we can't infer how many are red wool. Insufficient.

2) 100 of the red sweaters at the store are not made of pure wool.
From this, we can infer that 50 are both red and wool:

Image

This answers our target question, so it's sufficient.

The answer is B.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
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