Question

Alexander is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Alexander scores a total of 14 points and made twice as many two points shots Alexander made and the number of three points shots he made

Answer 1

2 three points shots and 4 two points shots

Explanation:

Let x be the number of three points shots.

Alexander made twice as many two points shots as three points shots, so the number of two points shots is 2x.

Amount earned in three points shots
`=3\cdot x`

Amount earned in two points shots
`=2\cdot (2x)=4x`

Total score
`=3x+4x=7x`

Alexander scores a total of 14 points, then

`7x=14\\ \\x=2\\ \\2x=2\cdot 2=4`