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Substitution
Elimination
Story Problems
Weird Stuff
100

y=1/2x-3

y=-2/3x+4

100

Solve by substitution

y = 3x + 2

y = 4x - 3

The answer is (5, 17).

100

Solve by elimination method

x + y = 6

x - y = -10

The answer is (-2,8).

100

You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined. How many hot dogs were sold and how many sodas were sold?

You sold 35 hot dogs and 52 sodas were sold. 

100

How long of a line can you draw with a pencil until it runs out?

35 miles

200

y=3x-3

x+y=5

200

Solve by substitution

y=1/2x+4

5x+y=7

The answer is (-2,3).

200

Solve the system using elimination

-2x+3y=11

3x-y=8

The answer is (5, 7)

200

You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?

That means that 1 soft tacos costs $1.25,

and 1 burrito costs $2.50.

200

On average, how many school buses are there on the road daily in the United States?

480,000

300

y=-2/5x+2

2x-y=4

300

Solve by substitution

5x+10y=20

-x+4y=-16

The answer is (8,-2).

300

Solve the system using elimination

3x+5y=-2

-2x-2y=4

The answer is (-4,2).

300

There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?

There are 6 chickens and 7 pigs.

300

This veggie name is Latin for "large pearl'

What is an ONION!

400

2x + 2y = 6

4x - 5y = 15

400

Solve by substitution

-3x + 2y = -5

4x + 3y = 18

The answer is (3,2).

400

Solve the system by elimination

-3x - 4y = -9

4x+3y=19

The answer is (7,-3).

400

Max has 60 dimes and quarters in total. They are worth $10.95. How many of each kind of coin does Max have?

Max has 27  dimes and 33 quarters.

400

This is the ONLY food that will not rot. A jar of this sweet treat will be edible for over 3,000 years.

What is HONEY!

500

-3x+2y=-5

4x+3y=18

500

Solve by substitution

4x-6y=1

-2x+4y=1

The answer is (2.5, 1.5).

500

Solve the system by elimination

4x - 2y = -1

-6x+4y=5

The answer is (1.5, 3.5).

500

Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. Last April, they spent $37.90 on supplies. The store sells forks for $5.60 and spoons for $5.40. Last April, they sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?

They sold 7 forks and 20 spoons.

500

How much was spent on back to school supplies and clothing for 2022?

8.64 Billion dollars