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
We want to find how many cups of cashews and almonds he will need
∵ He combined [tex]\frac{1}{3}[/tex] cup of cashews with [tex]\frac{1}{4}[/tex]
cup of almonds to make the mixture
∴ The ratio of cashews to almonds = [tex]\frac{1}{3}[/tex] : [tex]\frac{1}{4}[/tex]
- Multiply the both terms of the ratio by 12 which is the lowest
common multiple of 3 and 4
∵ [tex]\frac{1}{3}[/tex] × 12 = 4
∵ [tex]\frac{1}{4}[/tex] × 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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