How many leaves of each type of bread were sold?

Question

At Panera Bread, loaf of honey cost $2.59, a loaf of sunflower bread cost $2.99, and a loaf of French of bread costs $3.29. On a recent day, 3 times as many loaves of honey wheat were sold as sunflower. The number leaves of French bread sold was 5 less the number than the leaves of honey wheat sold. The total receipts of these breads were $66.07.

Answer 1

Zarayia, this is an easier problem than it seems because two of the variables are related the third.

 

Both the amount of French bread sold and the amount of sunflower bread sold are related to the honey wheat.

 

Since three times as many honey wheat were sold as sunflower, we get this equation:

(H=honey wheat, S=sunflower, F=French)

 

H = 3S

 

You can rewrite that as H/3 = S

 

And since five fewer loaves of French bread were sold than honey wheat, we get this:

 

H -5 = F

 

 

So the total receipts of all three breads is $66.07. You can write that like this:

 

$2.59*H + $2.99 *S + $3.29* F = $66.07

 

Then instead of S, you can write (H/3), and instead of F, you can write (H-5).

 

So you get this:

 

$2.59*H + $2.99 (H/3) + $3.29 (H-5) = $66.07

 

Can you take it from here?