One 8.3 ounce can of Red Bull contains energy in two forms: 27 grams of sugar and 80 milligrams of caffeine. One 23.5 ounce can of Jolt Cola contains 94 grams of sugar and 280 milligrams of caffeine. Determine the number of cans of each drink that when combined will contain the specified heart-pounding combination of sugar and caffeine. 175 grams sugar, 520 milligrams caffeine.

We need to combine 3 cans of Red Bull and 1 can of Jolt Cola to obtain the heart-pounding combination of sugar and caffeine.

Step-by-step explanation:

1. Identify the variables

Consider:

X= Number of Red Bull 8.3 ounce cans

Y= Number of Jolt Cola 23.5 ounce cans

2. Construct the linear equation system:

The specified heart-poundinf combination of sugar and caffeine is determinate by the sum of  the amount of sugar and caffeine contained in each drink.

Amount of Sugar:

 (1)

Amount of Caffeine:

(2)

3. Solve the linear equation system

Solve (1) for x:

Replace X in (3):

Replace Y in X:

Conclution:

We need to combine 3 cans of Red Bull and 1 can of Jolt Cola to obtain the heart-pounding combination of sugar and caffeine.

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step-by-step explanation:

1. sometimes

2. never true

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step-by-step explanation:

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