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
of a cup of cashews and
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 cup of cashews with
cup of almonds to make the mixture
∴ The ratio of cashews to almonds = :
- Multiply the both terms of the ratio by 12 which is the lowest
common multiple of 3 and 4
∵ × 12 = 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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