Upper Primary School Maths

Question

Sandy bought some apples and oranges. The number of apples was 1.25 times the nunber of oranges. After she packed the apples into boxes of 10 and oranges into boxes of 6, she found that she had 2 more boxes of orange than apples. How many apples did she buy at first?

Answer 1

Let the number of apples be A. A=1.25×number of oranges, so the number of oranges =A/1.25. 1.25 is 1¼, or 5/4, so the number of oranges=⅘A.

Now, next look at the boxes. When packed in tens the number of apple boxes=A/10 and the number of orange boxes=⅘A/6.

So, Sandy had A/10+2 orange boxes:

⅘A/6=A/10+2.

Therefore 2A/15=A/10+2.

2A/15-A/10=2,

4A/30-3A/30=2,

A/30=2, so A=60, there are 60 apples (filling 6 boxes) and ⅘A=⅘×60=4×12=48 oranges (filling 8 boxes, 2 more boxes than apple boxes).