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A company sells a mix of peanuts and cashews. For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounces of peanuts. How many ounces of cashews will a batch have?
40 ounces of cashews
59 ounces of cashews
61 ounces of cashews
90 ounces of cashews
To solve this problem, we need to understand the ratio of peanuts to cashews. The problem states that for every 3 ounces of peanuts, there are 2 ounces of cashews. This gives us a ratio of peanuts to cashews of 3:2.
First, we find how many groups of 3 ounces of peanuts are in the 60 ounces we have:
[
text{Number of groups} = frac{60 text{ ounces of peanuts}}{3 text{ ounces per group}} = 20 text{ groups}
]
Next, since each group corresponds to 2 ounces of cashews, we calculate the total amount of cashews:
[
text{Total ounces of cashews} = 20 text{ groups} times 2 text{ ounces per group} = 40 text{ ounces}
]
So, the correct answer is 40 ounces of cashews.