lee baked some cookies. she packed 2/3 of them into a tin and gave 1/5 of the remainder to her friend. she had 40 cookies left. how many cookies did she bake?

Question

lee baked some cookies. she packed 2/3 of them into a tin and gave 1/5 of the remainder to her friend. she had 40 cookies left. how many cookies did she bake?

Answer 1

40 = (4/5)r

(5/4)(40) = (5/4)(4/5)r

r = 50

 

(1/3)t = 50

3(1/3)t = 50(3)

t = 150

 

She baked 150 cookies.

 

Let's check. 

 

(2/3)150 = 100 in a tin

 

(1/5)50 = 10 given to a friend, leaving 40

 

Check!