
By: Phoenix (offline) Sunday, September 23 2012 @ 04:52 AM CDT (Read 1606 times)



Phoenix 
Need help in the following:
Q1: The cost of an orange was 1/3 that of a papaya. John spent 5/7 of his money on 4 oranges and 12 papayas. He then used the rest of his money to by 2 more papayas and some more oranges. How many oranges did he buy in all?
Q2: The ratio of the length to the breath of the rectangle X is 5: 1. The ratio of the length to the breath of Rectangle Y is 4:3. The ratio of the perimeter of rectangle X to the perimeter of Rectangle Y is 3:7. Find the ratio of the area of rectangle X to the area of rectangle Y.
Q3: Lili bought some table lamps and the average cost of the lamps was $52. When she bought another table lamp which cost $70, the average then become $54. What was the total number of table lamps she hd in the end?
Q4: A vendor bought some eggs from a farm at $0.22 each. In the process of transporting the eggs to his supermarket, 12 eggs were broken. The remaining eggs were sold at $0.29 each. In the end, the vendor still earned $11.50. How many eggs did he buy from the farm?

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Registered: 12/31/11 Posts: 14





By: Phoenix (offline) Thursday, September 27 2012 @ 08:41 AM CDT



Phoenix 
The ratio of the length to the breath of the rectangle X is 5: 1. The ratio of the length to the breath of Rectangle Y is 4:3. The ratio of the perimeter of rectangle X to the perimeter of Rectangle Y is 3:7. Find the ratio of the area of rectangle X to the area of rectangle Y.

Newbie
Registered: 12/31/11 Posts: 14





By: theren (offline) Friday, September 28 2012 @ 07:01 PM CDT



theren 
The ratio of the length to the breath of the rectangle X is 5: 1. The ratio of the length to the breath of Rectangle Y is 4:3. The ratio of the perimeter of rectangle X to the perimeter of Rectangle Y is 3:7. Find the ratio of the area of rectangle X to the area of rectangle Y.
X's breadth : X's length
5 : 1
Y's breadth : Y's length
4 : 3
Perimeter
X : Y
3 : 7
Notice that for the perimeter of Y, 4 (length) + 3 (breadth) = 7. But for X, 5 + 1 = 6, so we times 2 to the perimeter ratio of X (which is 3).
Perimeter
X : Y
6 : 14
Since we times 2 to the perimeter ratio of X, we must times 2 to it's breadth and length too.
Y's breadth : Y's length
8 : 6
It's now easier to solve for the ratio of the areas. Hope this helps!

Newbie
Registered: 10/11/11 Posts: 1





By: jo sarah (offline) Saturday, September 29 2012 @ 04:39 AM CDT



jo sarah 
Q1: The cost of an orange was 1/3 that of a papaya. John spent 5/7 of his money on 4 oranges and 12 papayas. He then used the rest of his money to by 2 more papayas and some more oranges. How many oranges did he buy in all?
let cost of orange be 1u. Then cost of papaya is 3u.
4 oranges + 12 papayas cost 4u + 36u = 40u
5p of money > 40u
2p of money > (40/5) x 2 = 16u
2 papayas cost 6u
thus, 16u  6u = 10u used for buying oranges.
therefore, he bought 10 + 4 = 14 oranges in all.
Q3: Lili bought some table lamps and the average cost of the lamps was $52. When she bought another table lamp which cost $70, the average then become $54. What was the total number of table lamps she hd in the end?
let the no. of table lamps bought at first be 1u
total cost = 1u x $52 = $52u
she bought another lamp, therefore total no. = 1u + 1
and total cost = $54u + $54
Now, 54u + 54  52u = 70
so that, 2u = 70  54 = 16
and thus, 1u = 8
So, she had 8 + 1= 9 lamps in the end.
check: 8 x 52 + 70 = 486 = 9 x 54
Q4: A vendor bought some eggs from a farm at $0.22 each. In the process of transporting the eggs to his supermarket, 12 eggs were broken. The remaining eggs were sold at $0.29 each. In the end, the vendor still earned $11.50. How many eggs did he buy from the farm?
let no. of eggs bought be 1u
cost of these = $0.22u
no. of remaining unbroken eggs = 1u  12
selling price of these unbroken eggs = $0.29u  $3.48
earning = 0.29u  3.48  0.22u = 0.07u  3.48
thus, 0.07u  3.48 = 11.50
and so, 0.07u = 11.5 + 3.48 = 14.98
therefore, 1u = 14.98 / 0.07 = 214
So, he bought 214 eggs from the farm.
check: 214 x 0.22 = 47.08
(214  12) x 0.29 = 58.58
58.58  47.08 = 11.50

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Registered: 03/20/12 Posts: 111





By: Phoenix (offline) Sunday, September 30 2012 @ 01:35 AM CDT



Phoenix 
Dear Theren and Jo Sarah
Thank you so much for your assistance.

Newbie
Registered: 12/31/11 Posts: 14



