Question

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?

What percentage of the sweet is syrup?

Answer 1

Answer:

1. The fraction of the sweet in syrup is 2/5.
2. The percentage of the sweet in syrup is 40 %.

Step-by-step explanation:

Given that:

• 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.

To Find:

1. What fraction of the sweet in syrup?
2. What percentage of the sweet in syrup?

Let us assume:

• Sugar/sweet = 2x
• Water = 3x

And also,

Syrup = Sugar + Water

⇒ 13 = 2x + 3x

⇒ 13 = 5x

Finding the fraction of the sweet in syrup:

⟶ Fraction = Sugar / Syrup

⟶ Fraction = (2x)/13

⟶ Fraction = (2x)/(5x)

⟶ Fraction = 2/5

∴ The fraction of the sweet in syrup = 2/5

Finding the percentage of the sweet in syrup:

⟶ Percentage = (Sugar × 100)/Syrup %

⟶ Percentage = (2x × 100)/5x %

⟶ Percentage = (200x)/(5x) %

⟶ Percentage = 40 %

∴ The percentage of the sweet in syrup = 40 %

Answer 2

Given:

Given that, Ratio of the flour to syrup to make a sweet is 7:13. The syrup has sugar and water in the ratio is 2:3.

To find:

Fraction and percentage of sweet in syrup.

Solution:

We know that sugar's ratio is 2. Let us assume this as 2x. Similarly, water = 3x

Syrup is a mixture of sugar and water.

$\implies$ 13 = 2x+3x

$\implies$ 5x = 13

Fraction of sweet in sugar:

$\implies$ $\sf{\dfrac{2x}{5x}}$ [13=5x]

$\implies$ $\boxed{\green{\sf{\dfrac{2}{5}}}}$

Percentage:

$\implies$ Fraction of sweet in sugar ×100

$\implies$ $\sf{\dfrac{2}{5}}$ ×100

$\implies$ 2×20

$\implies$ $\boxed{\pink{\sf{40}}}$%