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Korvikt [17]
3 years ago
9

Sophie has 25 ounces of a 20% sugar syrup that she wants to dilute to a 10% sugar syrup. How much water does she need to add to

obtain the 10% syrup?
Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0

Answer:

25oz

Step-by-step explanation:

GrogVix [38]3 years ago
3 0

If Sophie adds <em>x</em> oz of water, the volume of the new syrup will be (25 + <em>x</em>) oz. The syrup she starts with already contains 0.20 • (25 oz) = 5 oz of sugar, and if she adds water to it, that amount doesn't change.

She wants to end up with a syrup containing 10% sugar, so that the starting 5 oz makes of 10% of the total (25 + <em>x</em>) oz of syrup. So

5 / (25 + <em>x</em>) = 0.10

5 = 0.10 (25 + <em>x</em>)

5 = 2.5 + 0.10<em>x</em>

2.5 = 0.10<em>x</em>

<em>x</em> = 2.5 / 0.10

<em>x</em> = 25 oz

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