#### Answer

The cost of lunch at Jodi’s Taco Palace was 5.25

#### Work Step by Step

Let X represent the cost of lunch at Jodi’s Taco Palace.
Lunch at Joe’s Hamburger Stand costs 1.75 less than lunch at Jodi’s Taco Palace. Since lunch at Jodi’s Taco Palace costs X, lunch at Joe’s Hamburger Stand costs X - 1.75.
The student ate four times at Jodi’s, which cost 4X.
The student ate one time at Joe’s, which cost X - 1.75
The total cost was 24.50
So, we obtain:
4X + X - 1.75 = 24.50
5X - 1.75 = 24.50
Add 1.75 to both sides
5X = 26.25
Divide both sides by 5
X = 5.25