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# A student approximates that he needs 1 gram of sugar for every 0.8

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Senior Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 434
A student approximates that he needs 1 gram of sugar for every 0.8  [#permalink]

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27 Mar 2019, 17:06
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Difficulty:

5% (low)

Question Stats:

91% (01:14) correct 9% (01:38) wrong based on 32 sessions

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A student approximates that he needs 1 gram of sugar for every 0.8 liters of solution. Which of the following is the best approximation of the number of grams he would need for 3 liters of solution?

A) $$\frac{4}{5}$$

B) $$\frac{5}{12}$$

C) $$\frac{12}{5}$$

D) $$\frac{15}{4}$$

E) $$\frac{19}{5}$$
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Re: A student approximates that he needs 1 gram of sugar for every 0.8  [#permalink]

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27 Mar 2019, 18:26
energetics wrote:
A student approximates that he needs 1 gram of sugar for every 0.8 liters of solution. Which of the following is the best approximation of the number of grams he would need for 3 liters of solution?

A) $$\frac{4}{5}$$

B) $$\frac{5}{12}$$

C) $$\frac{12}{5}$$

D) $$\frac{15}{4}$$

E) $$\frac{19}{5}$$

I like solving this kind of thing by 'scaling up' the ratio, to avoid doing a ton of math.

1 gram in 0.8 liters
*10
10 grams in 8 liters
/8
10/8 grams in 1 liter
*3
30/8 grams in 3 liters

30/8 = 15/4, or answer (D).
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Re: A student approximates that he needs 1 gram of sugar for every 0.8  [#permalink]

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02 Apr 2019, 19:18
energetics wrote:
A student approximates that he needs 1 gram of sugar for every 0.8 liters of solution. Which of the following is the best approximation of the number of grams he would need for 3 liters of solution?

A) $$\frac{4}{5}$$

B) $$\frac{5}{12}$$

C) $$\frac{12}{5}$$

D) $$\frac{15}{4}$$

E) $$\frac{19}{5}$$

We can use the following proportion:

1/(0.8) = n/3

3 = 0.8n

30 = 8n

n = 30/8 = 15/4

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Re: A student approximates that he needs 1 gram of sugar for every 0.8   [#permalink] 02 Apr 2019, 19:18
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