Liz is comparing two options to go zip-lining with some friends. The zip line at Blackberry Lake costs $30 per person, plus a $40 charge to rent equipment for the group. The zip line at Mount Oak costs $45 per person, with no additional charge for equipment. Liz also has a coupon for $20 off the total price at Mount Oak.Which equation can you use to find p, the number of people who would need to go zip-lining for the two options to cost the same?30p+40=45p+2030p+40=45p–20How many people would need to go zip-lining for the two options to cost the same? peopleSubmit
Question
Liz is comparing two options to go zip-lining with some friends. The zip line at Blackberry Lake costs 40 charge to rent equipment for the group. The zip line at Mount Oak costs 20 off the total price at Mount Oak.Which equation can you use to find p, the number of people who would need to go zip-lining for the two options to cost the same?30p+40=45p+2030p+40=45p–20How many people would need to go zip-lining for the two options to cost the same? peopleSubmit
Solution
The correct equation to use is 30p + 40 = 45p - 20. This equation represents the total cost for each option, where p is the number of people.
To find the number of people for which the two options cost the same, you can solve this equation for p:
First, subtract 30p from both sides to get: 40 = 15p - 20
Then, add 20 to both sides to get: 60 = 15p
Finally, divide both sides by 15 to solve for p: p = 60 / 15 p = 4
So, the two options would cost the same if 4 people go zip-lining.
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