John has a collections of 20 minute cars and trucks. cars make up 40% of the collection. of john adds cars to the collections how many cars must he add to make up 75% of cars

Given that John has a collections of 20 cars and trucks and cars make up 40% of the collection.Thus, the number of cars in the collection is given by[tex] \frac{40}{100} \times20=8\, cars[/tex]If john adds cars to the collections, the number of cars he must add to make up 75% of cars is obtained as follows:Let x be the number of cars he must add, then[tex] \frac{8+x}{20+x} \times100=75 \\ \\ \Rightarrow\frac{8+x}{20+x}=0.75 \\ \\ \Rightarrow8+x=0.75(20+x)=15 + 0.75x \\ \\ \Rightarrow x-0.75x=15-8 \\ \\ \Rightarrow0.25x=7 \\ \\ \Rightarrow x= \frac{7}{0.25} =28[/tex]Therefore, the number of cars he must add to make up 75% of cars is 28 cars.