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Solve each problem by using a system of three equations inthree unknowns.
On Monday Headley paid 1.70 dollars for two cupsof coffee and one doughnut, including the tip. On Tuesday he paid 1.65 dollars for two doughnuts and a cup of coffee, including the tip. On Wednesday he paid 1.30 dollars for one coffee and one doughnut, including the tip. If he always tips the same amount, then what is the amount of each item?
$\$ 0.45$, $\$ 0.35$, $\$ 0.55$
Algebra
Algebra 2
Chapter 4
Systems of Linear Equations
Section 3
Systems of Linear Equations in Three Variables
Polynomials
Systems of Equations and Inequalities
Introduction to Algebra
Graph Linear Functions
Write Linear Equations
Linear Equations and Functions
Matrices and Determinants
University of Texas at Austin
University of North Carolina at Chapel Hill
Lectures
09:38
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02:23
03:17
03:20
03:16
04:18
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02:20
03:00
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04:21
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Okay, so here we're told, the prices on three different days for different sets of items. On one day we're told that two cups of coffee let's see. What's that doughnut? Plus the tip equals seven. Other day we're told that one cup of coffee plus two doughnuts 65 and on the third day, we're called coffee. That plus the tip close 1/3 remember? Asked look for cost of each item So we get elimination to solve this problem. Um, it's probably easiest to limited t here. So you do the first equation minds the second equation U c minus d equals defense. And if you do the first equation minds appeared agrees to make you see, because 40 cents Oh, I mean, that's pretty quickly. You can see that seek was 40 cents. And now we can solve for D here he's gonna equal down. He's gonna give us c be equal C minus 50 cents equal 40 minus 15. It's gonna be 25 cents, so we know that the equals 25 c equals 40 and now consult for key in this equation right here. Just take 1 30 at this 0.5 minus 40 we could see the tea equals or it out. One dirty minus 20 crowd. Arness War. That's gonna be 65 cents. So we know that he tips 65 cents, please. 25 cents for donuts.
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