Math
posted by Ruby .
Mrs Li bought some oranges. She gave 1/2 of them to her sister, 1/4 of the remainder to her neighbour, 3/5 of those left to her children and had 6 left in the end. How many oranges did Mrs Li buy? Explain your workings

If she had 6 left after giving 3/5 to her children, she had 6/(2/5) = 15 to start.
If she had 15 left after giving 1/4 to her neighbors, she had 15/(3/4) = 20 to start.
If she had 20 left after giving 1/2 to her sister, she had 20/(1/2) = 40 to start out with in the first place.
Check:
40  20 = 20
20  5 = 15
15  9 = 6
Everybody is happy.
Alternatively:
X  X/2 = X/2
X/2  (X/2)(2/5) = 3X/8
3X/8  (3X/8)(3/5) = 6X/40 = 6
6X = 240 or X = 40.
Respond to this Question
Similar Questions

Maths
Some children were sharing oranges. If each child took 3 oranges, there would be 2 oranges left over. But if each child took 4 oranges, there would be 2 oranges short. How many oranges were there? 
maths
PLS HELP!!!! Some children were sharing oranges. If each child took 3 oranges, there would be 2 oranges left over. But if each child took 4 oranges, there would be 2 oranges short. How many oranges were there? 
5th grade
Please, someone help me ,I don't know how and what to do to find the anwer. Mary was helping her family pick oranges in their grove. She took some home to share with three friends. She gave 3 more than half to Jennifer. Angela got … 
Math
Mrs. Kumar bought 27 apples. She bought 15 more oranges. How many oranges did she buy? 
Maths
Mr Sanderson makes some cookies for a festival day. She gave 1/4 of the cookies to her sister and 1/3 of the remainder to a neighbour. If she had 120 cookies left, how many cookies did she make in the beginning? 
maths
mrs chan baked some cupcakes. She gave 1/6 of the cupcakes to her neighbour and 7/10 of this remaining cupcakes to her sister. If she had 12 cupcakes left, how many cupcakes did she bake together? 
math
I bought 10 oranges and ate 3 oranges out of the 10 oranges. How many oranges do I have left? 
math
Mr. Rozario bought some numbers of apples and oranges in a ratio of 2:3. He gave away 2/3 of the apes to his sister and 23 oranges to his brother. The ratio of the number of apples to the number of oranges that he has now is 3:2. How … 
maths
david gave 1/5 of his oranges to his brother. his brother got 15 oranges. he gave his friend donny 1/3 of the remainder. a) how much oranges did david have originally? 
Math grade 6, ratio
Mr. Lynch bought some oranges and pears.after giving away 10 oranges, he had twice as many pears as oranges left.if he had 24 pears in the end,what was the ratio of the number of oranges to the number of pears he had at first?