#12: Kara is deciding between The Lyme Point Inn and Ever After Farms for her wedding reception. The Lyme Point Inn charges $3,000 for the venue and $100 for each meal. Ever After Farm charges $5,400 for the venue and $70 for each meal. Write and solve an equation to find the number of meals at which the total cost charged by the two venues would be the same. *

Required euqtaion: 3000+100x = 5400+70x

Solution: x=80 i.e. The number of meals at which the total cost charged by the two venues would be the same = 80

Step-by-step explanation:

Let x= Number of meals.

For Lyme Point Inn, cost for x meals = 100x

Total cost = 3000+100x

For Ever After Farm, cost for x meals = 70x

Total cost = 5400+70x

When both cots same, then

3000+100x = 5400+70x

⇒ 100x-70x= 5400-3000

⇒ 30x=2400

⇒ x= 80

Hence, the number of meals at which the total cost charged by the two venues would be the same.  =80