1. Using the information from the previous slide, complete the - - PowerPoint PPT Presentation

▶

Aug 26, 2022 398 likes •580 views

D AY 83 B USINESS P ROJECT W ORD P ROBLEM Mrs. Smith decided to purchase candy for her whole class as a treat. She bought Smarties and Dum-Dum lollipops as brain food for their next exam. Each bag of Smarties cost $7.00 (including tax).

SLIDE 1

DAY 83 – BUSINESS PROJECT

SLIDE 2

WORD PROBLEM

Mrs. Smith decided to purchase candy for her whole class

as a treat. She bought Smarties and Dum-Dum lollipops as “brain food” for their next exam. Each bag of Smarties cost $7.00 (including tax). The bag of Dum-Dum lollipops cost $8.50 (including tax). She ended up spending $60.50

n her purchase of 8 items.

SLIDE 3

Number of Smarties Bags Number of Dum- Dum lollipops Bags Total Cost for 8 Items ($) 1 2 3 4 5 6 7 8

1. Using the information from the previous slide, complete

the following table:

2. Circle the row that has a total cost of $60.50.

SLIDE 4

Number of Smarties Bags Number of Dum- Dum lollipops Bags Total Cost for 8 Items ($) 8

$68.00

1 7

$66.50

2 6

$65.00

3 5

$63.50

4 4

$62.00

5 3

$60.50

6 2

$59.00

7 1

$57.50

$56.00

1. Using the information from the previous slide, complete

the following table:

2. Circle the row that has a total cost of $60.50.

SLIDE 5

3. How many bags of Smarties did Mrs. Smith buy?
4. How many bags of Dum-Dum lollipops did Mrs. Smith

buy?

5. Define your variables.

SLIDE 6

3. How many bags of Smarties did Mrs. Smith buy?

4. How many bags of Dum-Dum lollipops did Mrs. Smith

buy? 3

5. Define your variables.

x = number of Smarties bags y = number of Dum-Dum lollipop bags

SLIDE 7

6. Write a system of equations to model the situation.

SLIDE 8

6. Write a system of equations to model the situation.

Items: Cost:

50 . 60 50 . 8 00 . 7   y x 8   y x

SLIDE 9

7. How many bags of Smarties did Mrs. Smith buy?

SLIDE 10

7. How many bags of Smarties did Mrs. Smith buy?

Finding the number of Smarties bags means I should eliminate y since that is the variable that defines Dum-Dum lollipop bags. (multiply this equation by -8.50 to eliminate y) (nothing needs to change here)

8   y x 68 50 . 8 50 . 8     y x 50 . 60 50 . 8 00 . 7   y x 50 . 60 50 . 8 00 . 7   y x 50 . 1 50 . 7 50 . 1 50 . 1      x

5  x

SLIDE 11

8. How many bags of Dum-Dum lollipops did Mrs. Smith

buy?

SLIDE 12

8. How many bags of Dum-Dum lollipops did Mrs. Smith buy?

Finding the number of Dum-Dum lollipop bags means I should eliminate x since that is the variable that defines Smarties bags. (multiply this equation by -7.00 to eliminate x) (nothing needs to change here)

8   y x 56 00 . 7 00 . 7     y x 50 . 60 50 . 8 00 . 7   y x 50 . 60 50 . 8 00 . 7   y x 50 . 1 50 . 4 50 . 1 50 . 1      y

3  y

SLIDE 13

SOLVE

       15 2 10 3 y x y x

2 1

SLIDE 14

ANSWER KEY

Multiply each side of Equation 1 by ─1.

4 25 15 ) 5 ( 2 2 15 2 3 5 2 5 15 2 1 10 3                y y y x x x y x y x

Now the coefficients of these y terms are additive inverses, Substitute x = ─ 5 in Equation 1 or in Equation 2. The check is left for you.

SLIDE 15

SOLVE

         12 2 5 1 3 2 y x y x 2 1

SLIDE 16

ANSWER KEY

4 1 3 3 1 3 ) 2 ( 2 1 1 3 2 3 2 38 36 19 6 15 2 6 4                   y y y y x x x y x y x

Multiply each side of Equation 1 by 2 and multiply each side of Equation 2 by 3. Then the y terms will be additive inverses of each other

2(2x + 3y) = 2(─1) 3(5x ─ 2y) = 3(─12) Substitute x = ─ 2 in Equation 1 The check is left for you.