Difference between revisions of "2006 AMC 12B Problems/Problem 6"
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+ | Francesca makes a total of <math>100+100+400=600</math> grams of lemonade, and in those <math>600</math> grams, there are <math>25</math> calories from the lemon juice and <math>386</math> calories from the sugar, for a total of <math>25+386=411</math> calories per <math>600</math> grams. We want to know how many calories there are in <math>200=600/3</math> grams, so we just divide <math>411</math> by <math>3</math> to get <math>137\implies\boxed{(\text{B})}</math>. | ||
== See also == | == See also == | ||
{{AMC12 box|year=2006|ab=B|num-b=5|num-a=7}} | {{AMC12 box|year=2006|ab=B|num-b=5|num-a=7}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Latest revision as of 13:57, 4 December 2015
Problem
Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400 grams of water to make lemonade. There are 25 calories in 100 grams of lemon juice and 386 calories in 100 grams of sugar. Water contains no calories. How many calories are in 200 grams of her lemonade?
Solution
Francesca makes a total of grams of lemonade, and in those grams, there are calories from the lemon juice and calories from the sugar, for a total of calories per grams. We want to know how many calories there are in grams, so we just divide by to get .
See also
2006 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 5 |
Followed by Problem 7 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
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