Question

****************EXTRA CREDIT!!**********************

Anya makes 14 baskets throughout a basketball game. Some of the baskets were worth 2 points. while the others were worth 3 points. in total, anya scored 30 point. how many 2-point baskets did she make?
Part A: Define your variables
Part B: Write two equations for this scenario.
Part C: Determine how many 2-point baskets Anya made.

Answer 1

let x = the number of 2-point baskets Anya made

y = the number of 3-point baskets Anya made

Equations:

x + y = 14

2x + 3y =

Multiply the 1st equation by 3 to get:

3x + 3y = 42

Subtract above equation by 2nd equation to get:

(3x-2x) + (3y - 3y) = 42 -30

x = 12

Anya made 12 2-point baskets.