Mr Gan has fewer than 20 candies.He wants to pack them into plastic bags.If he packs 3 candies in each bag,he will have 4 extra candies left over.If he packs 5 candies in each bag,he will be short of 2 candies.How many candies does he have?
Accepted Solution
A:
Answer:y = 13Step-by-step explanation:If Mr Gan packs 3 candies in each bag, he will have 4 extra candies left over. Therefore3x + 4 = ywhere 'x' represents the number of bags, and 'y' the total number of candies he has.If Mr. Gan packs 5 candies in each bag, he will be short of 2 candies.5x - 2 = yTo find the number of candies he has, we need to solve the system of equations ove:3x + 4 = 5x - 2 6 = 2xx = 3Now, to find 'y':5(3) - 2 = yy = 13Therefore, Mr. Gan has 13 candies.