Question

In a basketball game Anya makes 14 baskets. Some of these baskets were worth 2-points and others were worth 3-points. In total she scored 30 points write a system of equations to find how many 2-point baskets she made.

Answer 1

She made 12 two point basket.

Explanation:

Assuming the number of 2 point basket is x and that of 3 point basket is y.

Based on the question the total numbers of basket is 14, that is x + y = 14 , and the total numbers of points is 30, which helps us with our second equation 2(x) +3(y)=30.

x + y = 14 eqn 1

2(x) +3(y)=30 eqn 2

Using elimination method multiplying eqn 1 by -3 and adding it to equation 2

-3x-3 y = -42 adding to eqn 2 gives

-x= -12

x=12. Which gives the number of the 2 points basket she made .