Algebra word proble

Question

one store sells candles for $2 each. ANother sells the same candles for $3 more than the number of candles bought. In order for the total sales ($) to be the same at each store, how many candles would need to be purchased?

Answer 1

Hello Gena,

 

C = # candles

 

The total sale from the first store is 2C since the candles sold for $2 each.

 

The total sale from the 2nd store is C+3 since they charge the number of candles +$3

 

If the total sales are the same

2C = C+3

 

And we can solve this for C

subtract C from both sides

 

2C - C = C-C+3

C = 3

 

In other words, in order for the total sales to be the same at each store, three candles would have to have been sold.