Question

Anya makes 14 baskets during her game. some of these baskets were worth 2 points and others worth 3 points. in total, she scored 30 points. write and solve a system of equations to find how many 2 pointes baskets she made

Answer 1

Let the number of 2 points be x, and the number of 3 points be y.

Therefore x + y = 14 .....(i)

2*x + 3*y = 30 .....(ii)

x + y = 14

2x + 3y = 30 

From (i),  x = 14 - y,  substitute this into (ii)

2*(14 - y) + 3y = 30

28 - 2y + 3y = 30

28 + y = 30

y = 30 - 28 = 2

y = 2,

x = 14 - y = 14 - 2 = 12,  x = 12.

The number of 2 points made were 12