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A packet of sugar was used to fill up 2 identical containers. Judy used half the sugar from the first container and 3/4 of the sugar from the second container. If the total amount of sugar left in the 2 containers is 255g, how much sugar was there in the packet at first?

 Feb 2, 2016

Best Answer 

 #1
avatar+118667 
+5

A packet of sugar was used to fill up 2 identical containers. Judy used half the sugar from the first container and 3/4 of the sugar from the second container. If the total amount of sugar left in the 2 containers is 255g, how much sugar was there in the packet at first?

 

There is a half left in one and 1/4 left in the other so there is 3/4 of  one container left

 

If you average these then you get 3/8 of the original sugar is left.

 

3/8 of  S = 255

s = 255 divided by 3/8

 

from the forum calculator:

255/(3/8) = 680

 

The original packet had 680g of sugar.

 

check

1/2 of 680 = 340

1/2 of 340= 170

1/4 of 340 = 85

170 + 85 = 255 g   good :)

 Feb 2, 2016
 #1
avatar+118667 
+5
Best Answer

A packet of sugar was used to fill up 2 identical containers. Judy used half the sugar from the first container and 3/4 of the sugar from the second container. If the total amount of sugar left in the 2 containers is 255g, how much sugar was there in the packet at first?

 

There is a half left in one and 1/4 left in the other so there is 3/4 of  one container left

 

If you average these then you get 3/8 of the original sugar is left.

 

3/8 of  S = 255

s = 255 divided by 3/8

 

from the forum calculator:

255/(3/8) = 680

 

The original packet had 680g of sugar.

 

check

1/2 of 680 = 340

1/2 of 340= 170

1/4 of 340 = 85

170 + 85 = 255 g   good :)

Melody Feb 2, 2016
 #2
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0

Judy shouldn't be eating that much sugar, that's bad for her health

 Feb 2, 2016
 #3
avatar+129850 
+5

Call the amount that one container could hold, x......so.... 2x fills both containers, and she uses (1/2)x + (3/4)x = (5/4)x   and has 255g left....so....

 

Amt remaining + amt used = amt in both containers

 

255 + (5/4)x  = 2x     simplify

 

255 =   (3/4)x      multiply both sides by (4/3)

 

340  = x     

 

So 2(340) = 680g      and that's how much sugar was in the packet

 

 

 

cool cool cool

 Feb 2, 2016
edited by CPhill  Feb 2, 2016

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