Question

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08a
The ratio of flour to syrup to make a sweet is 7:13. The syrup has sugar and water in the ratio is 2:3.
Let us find the percentage of sugar in the sweet.
What fraction of the sweet is syrup?
7 +1%
20
What percentage of the sweet is syrup?
%​

Answer 1

Solution :-

→ Flour : Syrup = 7 : 13

so,

Flour in sweet = (7/20)

Syrup in sweet = (13/20)

therefore, (13/20) fraction of the sweet is syrup.

also,

→ % of sweet is syrup = (13 * 100) / 20 = 65%

Hence, 65% of the sweet is syrup.

also,

→ In syrup , sugar : water = 2 : 3

so,

sugar = (2/5) = fraction of the syrup is sugar .

water = (3/5)

then,

→ The % of sugar in the sweet = (2/5) of syrup = (2/5) of 65% = (2/5) * 65 = 26%

Hence, the percentage of sugar in the sweet is 26% .

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