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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 + 13
20
What percentage of the sweet is syrup?
%
Answers
Answer:
percentage of syrup in sweet = 13/(13+7) × 100 = 13/20 × 100 = 65%
percentage of sugar in sweet = 2/5 of 65% = 2/5 × 65 = 26%
fraction of sweet in syrup = 2/(2+3) = 2/5
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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)
- 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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