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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

In mathematics, an absolut…

01:43

In mathematics, an equatio…

03:14

Write a system of two equa…

05:56

Solve each problem by usin…

01:50

Solve each problem using t…

02:36

For a cup of coffee and a …

02:23

03:17

03:20

03:16

04:18

Write a system of equation…

01:21

02:20

03:00

01:23

02:55

06:32

00:49

To solve each problem, wri…

01:27

04:21

01:56

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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