SOLUTION: Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of
Question 214747: Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell? Answer by drj(1380) (Show Source): You can put this solution on YOUR website! Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell?
Step 1. Let x number of small cups sold.
Step 2. Let y number of large cups sold.
Step 3. Let 1.25x be the cost of small cups sold.
Step 4. Let 2.50x be the cost of large cups sold.
Step 5. Then we have the following relationships:
where the total number of cups sold is 155
where the total cost of cups sold is $265.
Step 6. The following steps will solve the system of equations in Step 5.
Solve: We'll use substitution. After moving 1*y to the right, we get: , or . Substitute that
into another equation: and simplify: So, we know that y=57. Since , x=98.
Answer: .
Step 7. The number of small cups sold is 98 and the number of large cups sold is 57.
I hope the above steps were helpful.
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