Mathematics, 11.11.2020 16:40 areanna02

A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?

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Answer from: nina288

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A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5 pound tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?

If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version

Step-by-step explanation:

For tuna: Made from scratch

The ingredients cost $12.18 and yield 10 four-ounce servings.

10 servings = $12.18

1 serving = x

10 × x = 1 × $12.18

x = $12.18/10

x = $1.218

Hence, 1 four ounce serving cost $1.218

The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub.

5 pound tub salad = $26.99

1 pound tub of tuna salad = x

5 × x = 1 × $26.99

x = $26.99/5

x = $5.398 per pound

Converting to ounces

0.0625 pound = 1 ounce

5 pound = x

x = 5/0.0625

x = 80 ounces

80 ounces of tuna salad = $5.398

4 ounces of tuna salad = x

80 × x = 4 × $5.398

x = 4 x 5.398/80

x = $0.2699

Hence, 1 4 ounce pre made tuna salad cost = $0.2699

Hence, the cost per portion for the scratch-made is $1.218 per 4 ounces servings and the premade versions is $0.2698 per 4 ounce servings

If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version

Answer from: Quest

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Answer from: Quest

Answerthe simplified expression is $2x + 28$ explanationthe given expression is, $2(10) + 2(x - - 4)$ let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes, $2(10) + 2(x + 4)$ we now expand the parenthesis to get, $20 + 2x + 8$ we group like terms to obtain, $2x + 8 + 20$ this simplifies to, $2x + 28$

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