SOLUTION: Carrots sell for $2.10 per pound, and crackers sell for $2.90 per pound. Glen bought some carrots and some crackers. The total weight was 2.3 pounds and cost $6.03. Let p repres

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Carrots sell for $2.10 per pound, and crackers sell for $2.90 per pound. Glen bought some carrots and some crackers. The total weight was 2.3 pounds and cost $6.03. Let p repres      Log On


   

Question 837999: Carrots sell for $2.10 per pound, and crackers sell for $2.90 per pound. Glen bought some carrots and some crackers. The total weight was 2.3 pounds and cost $6.03.
Let p represent the number of pounds of carrots.

Which equation represents the situation described?
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
List the facts and the variables.

x is pounds of carrots
y is pounds of crackers
Carrot price, 2.10 dollars/pound
Crackers price, 2.90 dollars/pound
x+y=2.3 pounds of both items combined
Cost of both items, 6.03 dollars

Account for pounds of the combined items, done already from the description: x%2By=2.3

Account for the cost: 2.1x%2B2.9y=6.03

Substitution would be a good method.
y=2.3-x;
2.1x%2B2.9%282.3-x%29=6.03
2.1x%2B6.67-2.9x=6.03
-0.8x=6.03-6.67
0.8x=6.67-6.03=0.64
x=0.64%2F0.8-------Simplify this, and then use it to find y.