Question

A bakery's specialty flour is a mixture of almond and coconut flour. The ratio of almond flour to coconut flour is 7:38 by volume. If a backery uses 180 cups of the flour mixture in a day, what is the volume, in cups, of the almond flour used?

Answer 1

Let almond be 7x and coconut be 38x

ATQ

• 7x+38x=180
• 45x=180
• x=4cups

Total almond cupls=4(7)=28cups

Answer 2

Given ↷

• Ratio of almond flour to coconut flour ⇢7:38
• Number of cups of flour used in a dayㅤㅤㅤ ⇢ 180 cups

To find ↷

• volume of almond flour in 180 cups

Answer ↷

• 28 cups

Solution ↷

According to the question,

The ratio of almond flour to coconut flour is 7:38

so,

the volume of the almond flour used in a day ,in terms of cups would be

`\rightarrow (180 * 7 )/(7 + 38) \\`

`\rightarrow (1,260 )/(45) \\`

`\rightarrow28`

hence ,28 cups of almond flour would be required to meet the need to prepare the mixture for a day.

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volume of coconut flour required in a day ,in terms of no. of cups would be

`\rightarrow (180 * 38 )/(7 + 38) \\`

`\rightarrow (6,840 )/(45) \\`

`\rightarrow152`

hence ,152 cups of coconut flour are required to make the mixture.

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verification↷

Given that,

The ratio of almond flour to coconut flour is 7:38

7:38 = 28:152

7:38 = 7 :38

LHS = RHS

hence , verified ✓