Question

How much water do you add to make 75% sugar syrup using 99g sugar?

Also, how much water do you add to make 1% sugar syrup using 12g sugar?

Thanks for your help:)

Answer 1

Hi! The answer to this question is 1188 in GRAMS not liters!

PS: THANK YOU SOOOO MUCH.

PPS: RSM says it's right so good job! :)

Thisis the answer to the 12g sugar one

Explanation:

Answer 2

Answer: 1) 0.033 liter

2) 1.188 liter.

Explanation:

1) Let x gram of water is added with 99 g sugar,

Thus, the resultant quantity of the mixture = x + 99 gram

Since, water has 0 % of sugar and 99 gram sugar has 100 % of sugar,

⇒ 0 % of x + 100% of 99 = 75% of (x+99)

⇒ 0 + 99 = 0.75 (x+99)

⇒ 99 = 0.75 x + 74.25

⇒ 99 - 74.25 = 0.75 x

⇒ 24.75 = 0.75 x

⇒ 33 = x

Hence, the quantity of water mixed = 33 gram = 0.033 liter. ( 1 liter = 1000 gram)

2) Let y gram of water is added with 12 g sugar,

Thus, the resultant quantity of the mixture = x + 12 gram

Since, water has 0 % of sugar and 12 gram sugar has 100 % of sugar,

⇒ 0 % of y + 100% of 12 = 1% of (y+12)

⇒ 0 + 12 = 0.01 (y+12)

⇒ 12= 0.01 y + 0.12

⇒ 12 - 0.12= 0.01 y

⇒ 11.88 = 0.01 y

⇒ 1188 = y

Hence, the quantity of water mixed = 1188 gram = 1.188 liter. ( 1 liter = 1000 gram)