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?

Answers

Answer 1
Given ↷Ratio of almond flour to coconut flour ⇢7:38Number of cups of flour used in a dayㅤㅤㅤ ⇢ 180 cupsTo find ↷volume of almond flour in 180 cupsAnswer ↷28 cupsSolution ↷

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

[tex] \rightarrow \frac{180 \times 7 }{7 + 38} \\ [/tex]

[tex] \rightarrow \frac{1,260 }{45} \\ [/tex]

[tex] \rightarrow28[/tex]

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

______________________________________

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

[tex] \rightarrow \frac{180 \times 38 }{7 + 38} \\ [/tex]

[tex] \rightarrow \frac{6,840 }{45} \\ [/tex]

[tex] \rightarrow152[/tex]

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

_______________________________________

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 ✓

Answer 2

Let almond be 7x and coconut be 38x

ATQ

7x+38x=18045x=180x=4cups

Total almond cupls=4(7)=28cups


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