Question

MEDAL!!!!!!!!!!!!!!

For the following system of equations, write your own real world scenario that describes what is happening. Use complete sentences and correct grammar in your scenario.

Part 2:
Solve the system and explain what the results mean according to your scenario.

2x + y = 10
3x + 4y = 25

Answer 1

Sally and Jenny decided to go to the store to buy some snacks. Sally purchased 2 candy bars and 1 bag of chips totaling $10. Jenny purchased 3 candy bars and 4 bags of chips totaling $25. How much did each candy bar (x) and each bag of chips (y) cost ?

2x + y = 10 ---> y = -2x + 10
now sub -2x + 10 in for y in the other equation
3x + 4y = 25
3x + 4(-2x + 10) = 25
3x - 8x + 40 = 25
3x - 8x = 25 - 40
- 5x = - 15
x = 3

now sub 3 in for x in either equation to find y
2x + y = 10
2(3) + y = 10
6 + y = 10
y = 10 - 6
y = 4

So each candy bar (x) costs $ 3 and each bag of chips (y) costs $4.

Well...kind of expensive candy bars and chips....you can change them to something else if you want...thats up to you.

Answer 2

thanks!

Answer 3

sure thing :)