Darren wins a coupon for 4$ off the lunch special for each of 5 days. he pays $75 for his 5 lunch specials. write and solve an equation to find the original price p for one lunch special

Darren wins a coupon for 4 off the lunch special for each of 5 days he pays 75 for his 5 lunch specials write and solve an equation to find the original price p class=

Respuesta :

Value of each coupon = $4.

Total number of lunches taken = 5.

Let us assume original price for one lunch special = p.

Total amount paid in all 5 lunches taken = $75.

We can setup an equation now,

Number of lunches( cost of each lunch - discount value of each coupon) = $75

Plugging values,

5 ( p - 4) = 75.

This is the required equation to find the original price p for one lunch special.

Distributing 5 over (p -4), we get 5*p +5*-4 =  5p -20.

5p -20 =75.

Adding 20 on both sides.

5p -20+20 =75+20

5p = 95.

Dividing both sides by 5, we get

5p/5 = 95/5

p = 19.

Therefore, the original price is $19 for one lunch special.