Question

20. Joshua sold a batch of tickets for carnival rides. The ratio of adult

Answer 1

Step-by-step explanation:

a = original number of adult tickets

c = original number of child tickets

a/c = 2/5

a = 2c/5

(a+70)/(c+300) = 1/3

(2c/5 + 70)/(c + 300) = 1/3

2c/5 + 70 = (c + 300)/3

2c + 350 = 5(c + 300)/3

6c + 1050 = 5(c + 300) = 5c + 1500

c = 450

a = 2c/5 = 2×450/5 = 2×90 = 180

Joshua sold therefore in total

180 + 70 = 250 adult tickets.

and by the way

450 + 300 = 750 child tickets.