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# According to the directions on a packet of smoothie mix, 1 3-ounce pac

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Manager
Joined: 07 Feb 2015
Posts: 60
According to the directions on a packet of smoothie mix, 1 3-ounce pac  [#permalink]

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20 Jul 2015, 16:06
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Question Stats:

65% (02:10) correct 35% (01:42) wrong based on 65 sessions

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According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie. How many 3-ounce packets of smoothie mix are required to prepare 150 12-ounce smoothies?

(A) 120
(B) 150
(C) 180
(D) 240
(E) 600

Explanation: 150 12-ounce smoothies contain a total of 150(12) ounces. Each 3-ounce packet of smoothie mix is combined with 12 ounces of water, so one packet is required for each 15 ounces of smoothie. With that information, we can set up a ratio between the number of packets and the total ounces:

$$\frac{1packet}{15ounces}= \frac{xpackets}{150(12)ounces}$$

15x = 150(12)
x = 10(12) = 120
Manager
Joined: 07 Feb 2015
Posts: 60
According to the directions on a packet of smoothie mix, 1 3-ounce pac  [#permalink]

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20 Jul 2015, 16:11
gmatser1 wrote:
According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie. How many 3-ounce packets of smoothie mix are required to prepare 150 12-ounce smoothies?

(A) 120
(B) 150
(C) 180
(D) 240
(E) 600

Explanation: 150 12-ounce smoothies contain a total of 150(12) ounces. Each 3-ounce packet of smoothie mix is combined with 12 ounces of water, so one packet is required for each 15 ounces of smoothie. With that information, we can set up a ratio between the number of packets and the total ounces:

$$\frac{1packet}{15ounces}= \frac{xpackets}{150(12)ounces}$$

15x = 150(12)
x = 10(12) = 120

This question wasn't particularly grueling, but I think it's the first where I had the opportunity to solve it via theory and "inspection" that many on this board suggest as strategy on the GMAT. It actually came to me by accident. Basically, if we thought that the 3 packets of powder were included in the 12 ounces of water, that would mean we would need 150 packets of smoothie mix (along with 12(150) ounces of water for a total of 150 packets. However, we know, after a more careful reading of the stimulus, that the 3 ounces are NOT included in the 12 ounces. As such, the answer has to be LESS than 150 packets, since 150 would be too much powder considering you already have 150(12) ounces of water and need less packets than water to make a smoothie. As such, the only answer less than 150 is 120, A. Does this make sense? Or am I way off base?
Math Expert
Joined: 02 Sep 2009
Posts: 59708
Re: According to the directions on a packet of smoothie mix, 1 3-ounce pac  [#permalink]

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21 Jul 2015, 02:34
1
gmatser1 wrote:
According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie. How many 3-ounce packets of smoothie mix are required to prepare 150 12-ounce smoothies?

(A) 120
(B) 150
(C) 180
(D) 240
(E) 600

Explanation: 150 12-ounce smoothies contain a total of 150(12) ounces. Each 3-ounce packet of smoothie mix is combined with 12 ounces of water, so one packet is required for each 15 ounces of smoothie. With that information, we can set up a ratio between the number of packets and the total ounces:

$$\frac{1packet}{15ounces}= \frac{xpackets}{150(12)ounces}$$

15x = 150(12)
x = 10(12) = 120

This is a "stolen" GMAT Prep question: according-to-the-directions-on-a-can-of-frozen-orange-juice-101577.html
_________________
Re: According to the directions on a packet of smoothie mix, 1 3-ounce pac   [#permalink] 21 Jul 2015, 02:34
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