Question

20) A computer game costs twice as much as a board game. The board game costs twice as much as a toy. All three items cost £238 altogether. Work out the cost of the board game.​

Answer 1

the board game costs 68 Euros

Explanation:

we know that the computer costs 2 times as much as the board game, which costs 2 times as much as a toy. This means that the computer costs 4 times as much as the toy.

we can write this as a equation where, c = computer, b = board-game, and t = toy.

c + b + t = 238

now we substitute 2t for b (since a board game costs 2 times as much as a toy.

c + 2t + t = 238

substitute 4t for c, since a computer costs 4 times as much as a toy (explained earlier)

4t + 2t + t = 238

combine like terms

7t = 238

solve for t and you get that the toy costs 34

then, since the board game costs 2 times as much as the toy, you do 34*2 and you get 68.