200409266
Answered

An ice cream truck sells vanilla and chocolate bars. The vanilla bars cost $2.00 and the chocolate bars cost $2.50. The ice cream truck sold 100 bars total and made $212.50. How many chocolate bars were sold?

Answer :

Answer:

25 Chocolate Bars

Explanation:

To solve this you can start by setting up equations. If a total of 100 bars are sold and vanilla is represented by V and chocolate is represented by C, then V + C = 100. The second equation that can be set up 2V + 2.50C = 212.5. Because we have two variables, we need to consolidate to the one we are looking for, C. To do this take V + C = 100 and subtract C to get a V = 100 - C. Now with V in terms of C, put it into the equation. This gives 2(100 - C) + 2.50C = 212.5. Multiply the 2 out and get 200 - 2C + 2.50C = 212.50. Next add - 2C + 2.50C to now get 200 + 0.5C = 212.50. Subtract 200 from each side and get 0.5C = 12.50. Divide both sides by 0.5 to get a final answer of C = 25. If you then want to check your answer, you could also put it back into the equation and solve to make sure it is right (I already did this but I was just stating this for future reference). Hope this helps! :)