+0  
 
0
1264
1
avatar

Alex bought some cherries at $5 per pound and some oranges at $2 per pound. If he paid $18 for the cherries and oranges combined, and if the total weight of the cherries and oranges was 6 pounds, how many pounds of cherries did Alex buy?

math algebra
Guest Aug 13, 2014

Best Answer 

 #1
avatar+87309 
+10

Let x be the weight of the cherries

Then (6-x) must be the weight of the oranges...since, together, they weigh 6 lbs.

So we have.....

(The weight of the cherries times their cost per pound) + (the weight of the oranges times their cost per pound) = (the total cost)     ....or......mathematically.....

x(5) + (6-x)(2) = 18   ....simplifyting, we get

5x + 12 - 2x  = 18       ......simplify again

3x + 12 = 18                ....subtract 12 from both sides

3x = 6      

x = 2 lbs. of cherries

 

CPhill  Aug 13, 2014
 #1
avatar+87309 
+10
Best Answer

Let x be the weight of the cherries

Then (6-x) must be the weight of the oranges...since, together, they weigh 6 lbs.

So we have.....

(The weight of the cherries times their cost per pound) + (the weight of the oranges times their cost per pound) = (the total cost)     ....or......mathematically.....

x(5) + (6-x)(2) = 18   ....simplifyting, we get

5x + 12 - 2x  = 18       ......simplify again

3x + 12 = 18                ....subtract 12 from both sides

3x = 6      

x = 2 lbs. of cherries

 

CPhill  Aug 13, 2014

8 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.