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39 votes
glasses of milk and 3 snack bars have a total of 71 carbohydrates (carbs), and 3 glasses of milk and 2 snack bars have a total of 69 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

User Alexander Kim
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2 Answers

17 votes
17 votes

Answer:So looking at this question, we have two variables (1 - a glass of milk; 2 - a snack bar) and two equations to use to solve for the two variables. Remember that for any number of variables, you need that same number or more equations to solve for the variables.Let's say that a glass of milk is represented by g and a snack bar is represented by s.So we essentially have two equations here:4 glasses of milk + 3 snack bars = 88 carbs, or:4g + 3s = 882 glasses of milk + 4 snack bars = 74 carbs, or:2g + 4s = 74Now that we have this, we can solve for our equations. There are two ways to do this:SUBSTITUTION - solve for one variable, then substitute it inLet's solve for g using the second equation. First, we'll isolate g by subtracting 4s from both sides.2g = 74 - 4sNext, we can divide the whole equation by 2 to solve for g.g = 37 - 2sNow, we can substitute this into the first equation for g and solve for s.4g + 3s = 884(37 - 2s) + 3s = 88148 - 8s + 3s = 88148 - 5s = 88 (now subtract 88 from both sides and add 5s to both sides)60 = 5ss = 12Now we can use this to solve for g in the original equationg = 37 - 2sg = 37 - 2(12) = 37 - 24 = 13ELIMINATION - eliminate one variable to solve for the other, then use that to solve for the firstLet's look at our two equations4g + 3s = 882g + 4s = 74Let's eliminate the variable g first by multiplying the second question by -2.4g + 3s = 88-4g - 8s = -148If we add these two equations together, we get-5s = -60Divide both sides by -5 and we gets = 12Now, we can plug s into either equation to solve for g as we did above.

User Ricardo Stuven
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2.7k points
16 votes
16 votes
30 cal is your answer
User BRHSM
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2.6k points