Question

Jeremy plays basketball for the varsity team. Last season, he second a total of 1489 points consisting of 2-point and 3-point baskets. If Jeremy made a total of 640 baskets, how many of the baskets counted 3 points?

Answer 1

Step-by-step explanation:

Let

x-----> number of baskets of two points

y-----> number of baskets of three points

we know Let

x-----> number of baskets of two points

y-----> number of baskets of three points

we know that

2x+3y=1,4892x+3y=1,489 ----> equation A

x+y=640x+y=640 ----->x=640-yx=640−y ------> equation B

substitute equation B in equation A and solve for y

2(640-y)+3y=1,4892(640−y)+3y=1,489

1,280-2y+3y=1,4891,280−2y+3y=1,489

y=1,489-1,280=209y=1,489−1,280=209 for y

2(640-y)+3y=1,4892(640−y)+3y=1,489

1,280-2y+3y=1,4891,280−2y+3y=1,489

y=1,489-1,280=209y=1,489−1,280=209