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Solve each problem by using a system of three equ…

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Problem 54 Hard Difficulty

Solve each problem by using a system of three equations in
three unknowns.

Salvador's Fruit Mart sells variety packs. The small pack contains three bananas, two apples, and one orange for 1.80 dollars . The medium pack contains four bananas, three apples, and three oranges for 3.05 dollars. The family size contains six bananas, five apples, and four oranges for 4.65 dollars . What price should Salvador charge for his lunch-box special that consists of one banana, one apple, and one orange?

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Algebra

Algebra 2

Algebra for College Students

Chapter 4

Systems of Linear Equations

Section 3

Systems of Linear Equations in Three Variables

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Video Transcript

it's in this. Problems were looking for the cost of one banana, one apple and one orange should be So we're looking for We know that three bananas, apples plus in orange equals. Gonna let meaty near the port. Bananas 1st 3 close three oranges. +305 We know that six banana apple's plus four oranges equals for 65 Elimination. Um, these equations we can eliminate. Oh, because we have, uh over here. Three over here and for Oh, here. So multiple its first equation by three. And then subtract the second equation. Uh huh. We have nine B minus for B B six a minus three a supposed three a on a 30 Ministry of zero. And then we have 1 80 times three, minus three or five B to 35. I think it's fair secretion by four equation 12. The mind 66 Be made my side Days three. Eddie, um, quarrel with borough is zero and 1 80 times floor artist 4 65 to 55. We have three. A plus five equals to 35 6 people. Three close to 55. You re the common three a three a equals to 35 miles. Five e okay, simplifies nicely. Just be He's attract 20. It's often be himself a pretty easily. Um, we know that three is gonna be to 35 so far, 20 cents. It's one thing, and I just take 1 35 of them out of three. It's believe sense when we know that orange get rid of this year. French is 1 80 minus three be witches, 20 cents honest to A, which is 45 cents just getting equal 60 cents minus 90 cents. Just gonna be 30 cents and then ask for B plus a plus. Oh, so that's 00.30 What's point for five plus point to Wilson 95. How much this person should

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