Word problem

Question

For a wedding reception, the hostess served desserts and hors d' oeuvres. A total of $2500 was spent on food. $700 more was soent on hors d' oeuvres than on desserts. How muchas was spent on hors d' oeuvres? How much was spent on desserts?

Answer 1

Let x= amount spent on desserts

Let x+700= amount spent on hors d' oeuvres

 

x+x+700 = 2,500

2x+700=2,500

      -700     -700

 

2x = 1,800

 

Divide out both sides by 2

 

x=900

 

Therefore, $900 spent on desserts

 

$900 + $700 = $1,600 spent on hors d' oeuvres

 

$900 + $1,600 = $2,500

Answer 2

Hi Dyana,

 

Pick variables to represent the unknowns.

Let h = amount spent on hors d'oeuvres

Let d = amount spent on desserts.

 

h = d + 700

h + d = 2500

 

Using substitution:

d + 700 + d = 2500

2d + 700 = 2500

 

Can you finish solving for d to find how much

was spent on desserts?

Then just use h = d+700 for amount on hors d'oeuvres.