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A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cost

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A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cost

by Gmat_mission » Sun Apr 26, 2020 11:40 am

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A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cost per ounce of the family-size box of cereal?

(1) The family-size box of cereal contains 10 ounces more than the regular-size box of cereal.

(2) The family-size box of cereal costs $5.40.

[spoiler]OA=E[/spoiler]

Source: Official Guide
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Source: — Data Sufficiency |
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Re: A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cos

by deloitte247 » Thu Apr 30, 2020 7:46 am

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Target question => What is the cost per ounce of the family-size box of cereal?

Statement 1 => The family - size box of cereal contains 10 ounces more than the regular-size box of cereal
Let family-size quantity = q ounces
Let regular-size quantity = r ounces
q = r + 10 ounces; this does not provide any information about any price. Statement 1 is NOT SUFFICIENT

Statement 2 => The family-size box of cereal cost $5.40
Quantity of ounces present in the family-size box is unknown, so the target question cannot be answered. Statement 2 is NOT SUFFICIENT

Combining both statements together =>
Total quantity/ounce(s) in a family-size box = r + 10, where r is the total quantity/ounce(s) present in a regular-size box
$$Total\ \cos t\ of\ a\ family-size\ box\ =\$5.40$$
$$Therefore\ $5.40\ =\ r\ +\ 10$$
$$if\ \left(r+10\right)ounces\ =\$ 5.40$$
$$1\ ounce\ =\ \frac{$5.40}{r+10}$$
But the value of r is unknown, so the target question cannot be answered

Both statements together are NOT SUFFICIENT
Answer = E
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