Page 199 - Math Smart - 7

8.5.3 Solving word problems

Let us solve some word problems involving addition and subtraction of fractions.

Example 15

O Theresa sold 14 out of 30 papayas at the Fresh Produce Market and John sold
I of his papayas. Who sold more papayas?

the
of
O Jill and Peter sold oranges together at the same market. Jill sold |
oranges and Peter sold | fraction of the oranges was left at
of
them.
What
the end of the day?
Solution
O Theresa sold 14 of 30 papayas: ^ 15

John sold I of his papayas: f ^

15 ^ 15
So, John sold more papayas.

O Jill and Peter sold oranges together, so we add the fractions together to find
the fraction of oranges sold.
1 + 3 _ 4 3
8
2 ^ 8 " ^ 8
_ 7
8
"
1-^=1
' 8 8
i of the oranges were left at the end of the day.

Example 16

flour
kg
to
make
of
Yim had ^ kg of flour. She used | some buns. She then
bought another ^ kg of flour. How many kilograms of flour did she have in the
end?
Solution
To find the mass of flour Yim had in the end, first subtract the mass of flour she
used and then add the mass of flour she bought.

2_3 . 1 _7_6 . 4
8 4 '^ 2 ~8 8 '^ 8
_ 5
- 8
of
kg
Yim had |
flour
end.
the
in