A garden store purchased a number of shovels and a number of

[BTGmoderatorLU]

Source: GMAT Prep

A garden store purchased a number of shovels and a number of rakes. If the cost of each shovel was $14 and the cost of each rake was $9, what was the total cost of the shovels and rakes purchased by the store?

1) The ratio of the number of shovels to the number of rakes purchased by the store was 2 to 3.
2) The total number of shovels and rakes purchased by the store was 50.

The OA is C

[Jay@ManhattanReview]

Source: GMAT Prep

A garden store purchased a number of shovels and a number of rakes. If the cost of each shovel was $14 and the cost of each rake was $9, what was the total cost of the shovels and rakes purchased by the store?

1) The ratio of the number of shovels to the number of rakes purchased by the store was 2 to 3.
2) The total number of shovels and rakes purchased by the store was 50.

The OA is C

To get the total cost of the shovels and rakes, we need to know the no. of shovels and the no. of rakes.

Statement 1 alone is insufficient since we do not know the unique values of the no. of shovels and the no. of rakes.

Similarly, for the same reason, Statement 2 alone is also insufficient.

(1) and (2) together

No. of shovels = [2/(2 + 3)]*50 = 20 => No. of rakes = 50 - 30 = 20.

Thus, the total cost of the shovels and rakes = 14*20 + 9*30 = $550. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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