At the carnival, nick scored 2 points for each basket. he also received a bonus of 10 points. if nick's total score was 90 points, how many baskets did he make?

2x + 10 = 90 is our equation.
2x (x, the amount of baskets he made)
10 (the original bonus)
90 (total points)
Subtract 10 from both sides to get 2x by itself.
2x = 80
Divide by 2 to get x.
x = 40.
Nick made 40 baskets.

40 baskets

Why 40 baskets?

If 10 our of 90 points were bonus, than 80 of the points must be from the baskets.

90 - 10 = 80

We know that nick got 2 points for every basket, so we must find out how many baskets he scored to get 80 points

80 ÷ 2 = 40

Nick scored 40 baskets.

Check?

40 baskets, and each are 2 points.

40*2 = 80

90 total, 80 baskets, 10 bonus

80+10 = 90

Final 40 baskets