apple charges 1.30 for photo and .12 per word banana charges 1.80 for a photo and .10 per word. for what number of words will the charges be the same

Question

planning to advertise my boat on the internet and apple company charges 1.30 for a photo and .12 per word and banana company charges 1.80 for photo and .10 per word. For what number of words will the charges be the same?

Answer 1

Step 1) Set up equations for each company.........apple=1.30 + .12w banana=1.80+ .10w.  

 

Step 2) Set the two equations equal to eachother...........1.30+.12w=1.80+.10w

 

Step 3) Solve for w......... 0.02w=0.50...... w= 25 

 

 So it would take 25 words for the charges from both companies to be equal. 

Answer 2

Let n be the number of words.

 

For Apple Company, n words plus a photo will cost you 1.30 +0.12n

 

For Banana Company, n words and a photo will cost you 1.80 + 0.10n.

 

n is the same for both.

 

We wish to equate these dollar values, and then solve for n.

 

1.30 + 0.12n = 1.80 + 0.10n

 

Subtract 0.10n from both sides. We get

 

1.30 + 0.02n = 1.80

 

Subtract 1.30 from both sides. We get

 

0.02n = 0.50.

 

Divide both sides by 0.02. We get

 

n = 25 words

 

These 25 words will cost you $4.30 for each company.

 

I hope this helps. Good luck with selling your boat.