Difference between revisions of "2006 AMC 10B Problems/Problem 9"
Dairyqueenxd (talk | contribs) (→Problem) |
m (Fixed typo) |
||
(One intermediate revision by one other user not shown) | |||
Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
− | Francesca uses <math>100</math> grams of lemon | + | Francesca uses <math>100</math> grams of lemon juice, <math>100</math> grams of sugar, and <math>400</math> grams of water to make lemonade. There are <math>25</math> calories in <math>100</math> grams of lemon juice and <math>386</math> calories in <math>100</math> grams of sugar. Water contains no calories. How many calories are in <math>200</math> grams of her lemonade? |
<math> \textbf{(A) } 129\qquad \textbf{(B) } 137\qquad \textbf{(C) } 174\qquad \textbf{(D) } 233\qquad \textbf{(E) } 411 </math> | <math> \textbf{(A) } 129\qquad \textbf{(B) } 137\qquad \textbf{(C) } 174\qquad \textbf{(D) } 233\qquad \textbf{(E) } 411 </math> | ||
Line 7: | Line 7: | ||
The calorie to gram ratio of Francesca's lemonade is <math>\frac{25+386+0}{100+100+400}=\frac{411\textrm{ calories}}{600\textrm{ grams}}=\frac{137\textrm{ calories}}{200\textrm{ grams}}</math> | The calorie to gram ratio of Francesca's lemonade is <math>\frac{25+386+0}{100+100+400}=\frac{411\textrm{ calories}}{600\textrm{ grams}}=\frac{137\textrm{ calories}}{200\textrm{ grams}}</math> | ||
− | So in <math>200\textrm{ grams}</math> of Francesca's lemonade there are <math>200\textrm{ grams}\cdot\frac{137\textrm{ calories}}{200\textrm{ grams}}=137\textrm{ calories} | + | So in <math>200\textrm{ grams}</math> of Francesca's lemonade there are <math>200\textrm{ grams}\cdot\frac{137\textrm{ calories}}{200\textrm{ grams}}=\boxed{\textbf{(B) }137\textrm{ calories}}.</math> |
== See Also == | == See Also == |
Latest revision as of 00:54, 2 April 2023
Problem
Francesca uses grams of lemon juice,
grams of sugar, and
grams of water to make lemonade. There are
calories in
grams of lemon juice and
calories in
grams of sugar. Water contains no calories. How many calories are in
grams of her lemonade?
Solution
The calorie to gram ratio of Francesca's lemonade is
So in of Francesca's lemonade there are
See Also
2006 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.