Question

Together a boogie board, surfboard, and wetsuit cost $1,312. The surfboard cost six times the boogie board, and the wetsuit is $300 less than the surfboard. How much does the boogie board cost? How much the surfboard cost? Hint, let x = cost of the boogie board.

In box one, write the simplified equation you would use to solve this problem ______
In box two, the boogie board cost ______
In box three, the surfboard cost ______
Im ox four, the wetsuit cost ______

Answer 1

Answer: See explanation

Explanation:

Let the cost of the boogie board be represented by x.

The surfboard cost six times the boogie board. Therefore, surfboard =6x

The wetsuit is $300 less than the surfboard. This means wetsuit = 6x - 300

Together a boogie board, surfboard, and wetsuit cost $1,312. Therefore,

x + 6x + 6x - 300 = 1312

13x = 1312 + 300

13x = 1612

x= 1612 / 13

x = 124

Boogie board cost $124

Surfboard = 6x

= 6 × $124

= $744

Wetsuit = 6x - 300

= $744 - $300

= $444