Issues With Word Algebra Problems

[SamElli]

Instructions : Set up a system of simultaneous equations to solve each of the following problems.


A restaurant is offering two dinner specials. The difference between seven times the orders for the first special and four times the orders for the second special is 12. The sum of three-fourths of the orders for the first special and two-thirds of the orders for the second special is 21. Find the number of orders for each special.

If I could grab some help for this questions it would be much appreciated.

 

[Deleted member 4993]

Instructions : Set up a system of simultaneous equations to solve each of the following problems.


A restaurant is offering two dinner specials. The difference between seven times the orders for the first special and four times the orders for the second special is 12. The sum of three-fourths of the orders for the first special and two-thirds of the orders for the second special is 21. Find the number of orders for each special.

If I could grab some help for this questions it would be much appreciated.

In these problems, ALWAYS first thing to do is to figure out whose values do you need to calculate? In this case,

Find the number of orders for each special.

Name those as variables:

Number of first special = F

Number of second special = S (we expect these numbers to be integers)

Now continue....

 

[stapel]

Instructions : Set up a system of simultaneous equations to solve each of the following problems.

A restaurant is offering two dinner specials.

Pick variables for the two items. If the "first" special is "f", then what might be helpful to choose for the variable for the "second" special?

The difference between seven times the orders for the first special and four times the orders for the second special is 12.

What expression stands for "seven times...the first"? What expression stands for "four times...the second"? What expression stands for "the difference between" these? What symbol represents "is"? What equation then can you create?

The sum of three-fourths of the orders for the first special and two-thirds of the orders for the second special is 21. Find the number of orders for each special.

Follow the same reasoning for the second constraint. Then solve the system.

If you get stuck, please reply showing your answers for the questions above. Thank you!