SOLUTION: Good ones were $7 each and sorry ones were only $3 each. If Fiona spent $414 and bought 2 more good ones than sorry ones, how many of each did she buy?

Question 1202494: Good ones were $7 each and sorry ones were only $3 each. If Fiona spent $414 and bought 2 more good ones than sorry ones, how many of each did she buy?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
x is the number of sorry ones.
x + 2 is the number of good ones.
7 * (x + 2) + 3 * x = 414
simplify t get 7x + 14 + 3x = 414
combine like terms to get 10x + 14 = 414
subtract 14 from both sides of the equation to get 10x = 400
solve for x to get x = 40
comfirn by replacing x in the original euqtion to get 7 * 42 + 3 * 40 = 414
simplify to get 294 + 120 = 414
combine like terms to get 414 = 414, confirming the value of x is correct.
your solution is she bought 42 good ones and 40 sorry ones.

RELATED QUESTIONS
The expensive ones cost 7$ each, whereas the worthless ones sold for only 2$ each.... (answered by checkley77)

A girl bought mangoes at P7.50 each. There were two types of mangoes: good ones and not... (answered by josgarithmetic)

This is a Value Word Problems lesson. I learned it in chapter 19 but it doesn't help for... (answered by tutorcecilia)

The expensive ones cost $7 each, whereas the worthless ones sold for only $2 each. You... (answered by ReadingBoosters)

creative candles sells small candles for $3 each and large ones for $5 each.... (answered by checkley79)

Johnny found that the large ones totaled 30 more than 3 times the number of small ones.... (answered by edjones)

Johnny found that the large ones totaled 30 more than 3 times the number of small ones.... (answered by ankor@dixie-net.com)

Good Afternoon, I need help understanding how to work algebra word problems. 1)... (answered by josgarithmetic)