Question

Mike is making a nut mixture for an upcoming camping trip. He makes the mixture by combining 1/3 of a cup of cashews and 1/4 of a cup of almonds. If he wants to add cashews and almonds in the same ratio to make 28 cups of the mixture, how many cups of cashews and almonds will he need?

Answer 1

Answer:

Yup! 16 cups cashews and 12 cups almonds

Answer 2

He will need 16 cups cashews and 12 cups of almonds to make 28 cups of the mixture

Step-by-step explanation:

Mike is making a nut mixture for an upcoming camping trip

• He makes the mixture by combining $\frac{1}{3}$ of a cup of cashews and $\frac{1}{4}$ of a cup of almonds
• He wants to add cashews and almonds in the same ratio to make 28 cups of the mixture

We want to find how many cups of cashews and almonds he will need

∵ He combined $\frac{1}{3}$ cup of cashews with $\frac{1}{4}$

  cup of almonds to make the mixture

∴ The ratio of cashews to almonds = $\frac{1}{3}$ : $\frac{1}{4}$

- Multiply the both terms of the ratio by 12 which is the lowest

  common multiple of 3 and 4

∵ $\frac{1}{3}$ × 12 = 4

∵ $\frac{1}{4}$ × 12 = 3

∴ The ratio of cashews to almonds = 4 : 3

∵ He wants to make 28 cups of the mixture at the same ratio

By using the ratio method

→  Cashews  :  almonds  :  mixture

→  4               :  3               :  7 ⇒ (4 + 3)

→  x               :  y                :  28

By using cross multiplication

∴ x × 7 = 4 × 28

∴ 7 x = 112

- Divide both sides by 7

∴ x = 16

∴ y × 7 = 3 × 28

∴ 7 y = 84

- Divide both sides by 7

∴ y = 12

He will need 16 cups of cashews and 12 cups of almonds to make 28 cups of the mixture

Learn more:

He can learn more about the ratio in brainly.com/question/2707032

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