Final answer:
Steph sold 18 more games than Adam at the car boot sale with their respective sales following a ratio of 2:4:1.
Step-by-step explanation:
The question involves finding out how many more games Steph sold than Adam given that Callum, Steph, and Adam sold a total of 42 games at a car boot sale, following a ratio of 2:4:1 for the number of games each person sold.
Firstly, we add up the parts of the ratio (2+4+1) to get 7 parts in total.
Since 42 games were sold and the total number of parts in the ratio is 7, each part equals 42 games ÷ 7 parts = 6 games per part.
Callum sold 2 parts, Steph sold 4 parts, and Adam sold 1 part.
Therefore, Callum sold 2 × 6 = 12 games, Steph sold 4 × 6 = 24 games, and Adam sold 1 × 6 = 6 games.
To find out how many more games Steph sold than Adam, we subtract the number of games Adam sold from the number Steph sold:
=> 24 games (Steph) - 6 games (Adam)
= 18 games.
Thus, Steph sold 18 more games than Adam at the car boot sale.