Skip to main content

2006 AMC 12B Problem 6

Problem 6 of 25EasierAlgebra

Francesca uses 100100 grams of lemon juice, 100100 grams of sugar, and 400400 grams of water to make lemonade. There are 2525 calories in 100100 grams of lemon juice and 386386 calories in 100100 grams of sugar. Water contains no calories. How many calories are in 200200 grams of her lemonade?

Answer choices

Show solution

Solution

The full batch weighs 100+100+400=600100 + 100 + 400 = 600 grams and contains 25+386=41125 + 386 = 411 calories. Since 200200 grams is one third of the batch, it has 4113=137\frac{411}{3} = 137 calories. Thus, the correct answer is B.

More practice

Concepts: ratio and proportion

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.