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Two glasses of milk and 4 snack bars have a total of 78 carbohydrates​ (carbs), and 4 glasses of milk and 3 snack bars have a total of 86 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

there are ____ carbs in one glass of milk
there are ____ carbs in one snack bar

User BrandonG
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1 Answer

6 votes

Explanation:

Answer: there are 11 calories in one glass of milk and 14 calories in one snack bar.

Explanation:

Take milk to to be M and snack bars to be S.

Use algebra, so

2m + 3s = 64 and also

4m + 2s = 72

Multiply the top equation by 2 so both have 4m, so

4m + 6s = 128 and also

4m + 2s = 72

Then minus the numbers form the top equation by the bottom equation, so

4m + 6s = 128

- - -

4m + 2s = 72

This gives you 4s=56 so divide by 4 so s=14

No put 14 into the equation for s and rearrange to solve for m, so

2m+3s=64 So

2m+3x14=64

2m+42=64

Then minus 42

2m=22

m=11

User Dum
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