Princeton Review
A certain electrolyte solution contains 1 gram of salt for every 8 grams of sugar and every 200 grams of water. If the sugar to water ratio is halved, the salt to sugar ratio is tripled, and the resulting solution contains 5 grams of salt, how many grams of water does the resulting solution contain?
A. 250
B. 400
C. 666 2/3
D. 1,000
E. 2,000
OA C
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A certain electrolyte solution contains 1 gram of salt for every 8 grams of sugar and every 200 grams of water. If the
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regor60
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Since the original sugar:water was
8:200, and is now halved, the new sugar:water is:
4:200 and water: sugar 200:4
The original salt:sugar was 1:8. Since it is now tripled, the new salt: sugar is
3:8 and sugar:salt 8:3
The water: salt relationship is:
Water:sugar x sugar:salt So:
200:4 x 8:3 = 1600:12= 400:3
The amount of water now is the amount of salt multiplied by water:salt
400/3 x 5 = 2000/3=[spoiler]666 2/3, C[/spoiler]
8:200, and is now halved, the new sugar:water is:
4:200 and water: sugar 200:4
The original salt:sugar was 1:8. Since it is now tripled, the new salt: sugar is
3:8 and sugar:salt 8:3
The water: salt relationship is:
Water:sugar x sugar:salt So:
200:4 x 8:3 = 1600:12= 400:3
The amount of water now is the amount of salt multiplied by water:salt
400/3 x 5 = 2000/3=[spoiler]666 2/3, C[/spoiler]
