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

Respuesta :

Answer: Our required equation is [tex]5p-4\times 5=\$75[/tex] and $19 is the original price for one lunch special.

Step-by-step explanation:

Let the original price for one lunch special be 'p'.

Amount off for each of 5 days = $4

Number of days = 5

Amount he pays for 5 lunch specials = $75

According to question, it becomes,

[tex]5p-4\times 5=\$75[/tex]

So, it becomes,

[tex]5p-20=75\\\\5p=75+20\\\\5p=95\\\\p=\dfrac{95}{5}=\$19[/tex]

So, original price for one lunch special is $19.

Hence, our required equation is [tex]5p-4\times 5=\$75[/tex] and $19 is the original price for one lunch special.

The original price for one lunch meal is $19

The coupon reduces the total amount he paid per meal. Darren would pay for $4 less for his meal

Coupon per lunch = $4

Total amount he paid in 5 days = $75

Amount he pays per day for his lunch = $75/5 = $15

Original price p for his lunch = amount paid per lunch + coupon

p = $15 + $4

p = $19

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