Question

Jana uses 20 cards to play a memory game the cards are either animal cards or fruit cards. The ratio of animal cards to fruit cards is 2:3 How many if the 20 cards are animal cards? Of the fruit cards, 1/3 have bananas on them. How many cards have bananas on them. Show or explain your work.

Answer 1

Given that,

Total no of cards = 20

The ratio of animal cards to fruit cards is 2:3

No of animal cards = 20

Solution,

Let there are 2x animal cards and 3x fruit cards. ATQ,

2x+3x = 20

5x = 20

x = 4

Animal cards = 2x

= 2(4)

= 8

Fruit cards = 3x

= 3(4)

= 12

It is also mentioned that, of the cards, 1/3 have bananas on them. It means,

$B=\dfrac{1}{3}\times 12\\\\=4$

Hence, 4 cards have bananas on them.