Question

You and your friends were playing basketball last week. You were short a

player, so your younger sister joined the game. She crushed it scoring 12 shots for 28 points. How many 2 and 3 point baskets did she score?
Write a solution to the sister's basketball game.​

Answer 1

there are multiple solutions to this but one is...

3+3+3+3+2+2+2+3+2+2+3

Explanation:

you can create other solutions by taking both 2 and 3 consecitvly and adding them until you get 28.

Answer 2

She made eight 2 pointers

She made four 3 pointers

Explanation:

2x + 3y = 28

x + y = 12 Multiply this equation by 2

2x + 2y =24

Write the first and third equations underneath each other,

2x + 3y = 28

2x + 2y = 24 Subtract.

y = 4

x + y = 12

x + 4 = 12 Subtract 4 from each side

- 4 -4

x = 8