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Sunday, November 19 2017 @ 11:32 AM CST
 Forum Index >  Test Paper Related >  Primary 6 Matters
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By: geethavasavi (offline)  Monday, March 21 2016 @ 12:55 AM CDT (Read 1279 times)  
geethavasavi

Hi Edward,

Please help to solve these problems:

1.
The cost of 3 apples is the same as 2 oranges. The total cost of 4 apples and 3 oranges is $3.40. Mrs Li bought 7 apples and 5 oranges. How much did she pay for the apples and oranges altogether? (ans: $5.80)

2.Timothy and Jordan can paint a room in 2 h together. If Timothy is painting the room alone, he can complete the task in 6 h. How long will Jordan take to paint the room all by himself? (ans: 3h)

3.Zachary had a total of 448 papayas and kiwis. He sold of the papayas and of the kiwis. Zachary sold 164 fruits in all. How many kiwis did he sell? (ans:104 kiwis)


Thanks & Regards,
Geetha

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By: echeewh (offline)  Monday, March 21 2016 @ 03:14 PM CDT  
echeewh

Hey Geetha,

As for Q3, I think there are some missing numbers, fractions or % in the following statement "He sold of the papayas and of the kiwis" . Kindly verify and revert. Thanks.

Following are my worked solutions for Q1 and 2:

Q1.

3A = 2R (oranges) -- (1)
4A + 3R = 340 -- (2)

(1)x4:
12A = 8R -- (3)

(2)x3:
12A + 9R = 1020 -- (4)

Substitute (3) in (4):
8R + 9R = 1020
17R = 1020
R = 1020 ÷ 17 = 60 -- (5)

Substitute (5) in (1):
3A = 2 × 60 = 120
A = 120 ÷ 3 = 40

7A + 5R = (7 × 40) + (5 × 60)
= 280 + 300
= $5.80

========

Q2.

In 1 hr,

(T + J) paint (1/2) room
T paints (1/6) room

J paints [(1/2) - (1/6)] room
(1/2) - (1/6) = (2/6) = (1/3) room

Hence, J will take 3 hours to paint the same room alone.

========

Trust these help.

Do let me know again if there are further clarifications.

Cheers,
Edward


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By: geethavasavi (offline)  Wednesday, March 23 2016 @ 01:12 AM CDT  
geethavasavi


Thank You for the solution.

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