A smoothie with 2% strawberry syrup and 5% mango syrup is made in milk

Question

A smoothie with 2% strawberry syrup and 5% mango syrup is made in milk. How much more strawberry syrup (in litres) must be added to 12 litres of smoothie so that the smoothie contains 4% strawberry syrup by volume?

A) 1/4
B) 1/2
C) 1
D) 2
E) 4

A) 1/4
B) 1/2
C) 1
D) 2
E) 4

hsingh3031 · Answer

A

.48 + .04S = .24 + S

S= 1/4

Posted from my mobile device

IanStewart · Answer

You can use alligation or algebra to get an exact answer, but with these answer choices, there's no need to do even that. The smoothie initially contains 0.24 L of strawberry. If we double that amount, we'll increase the total volume by a negligible amount, but we'll double the amount of strawberry syrup. We'll almost get 4% strawberry (we'll get very slightly less, because the total volume increased). So the right answer is a tiny bit greater than 0.24, and A must be right.

satya2029 · Answer

0.24+X=(12+X)*0.04
24+100X=48+4X
96X=24
X=1/4
A:)

mSKR · Answer

smoothie need to contain 4%
1200 ml has 2% of strawberry = 24ml

4/100 *(1200+ x) = 24+x
4800+4x= 2400+100x
96x=2400
x=25ml
means 1/4l

luisdicampo · Answer

Deconstructing the Question

Initial smoothie =  12  litres.

Strawberry content =  2% .

Initial strawberry amount:

0.02 	imes 12 = 0.24

Let  x  be the litres of strawberry syrup added.

New strawberry amount:

0.24 + x

New total volume:

12 + x

We want final concentration to be  4% :

\frac{0.24 + x}{12 + x} = 0.04

Step-by-step

0.24 + x = 0.04(12 + x)

0.24 + x = 0.48 + 0.04x

x - 0.04x = 0.48 - 0.24

0.96x = 0.24

x = \frac{0.24}{0.96} = 0.25 = \frac{1}{4}

Answer: A

A smoothie with 2% strawberry syrup and 5% mango syrup is made in milk

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A smoothie with 2% strawberry syrup and 5% mango syrup is made in milk

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