What is the formula for calculating midpoint

Pls! does anybody know a shortcut for answering these types of questions in the future?

Arianna is buying plants for her garden. she buys 15 flowering plants for $96. pink flowering plants sell for $8, and purple flowering plants sell for $5. how many pink flowering plants did arianna buy? i figured out the answer! the answer is 7. 8x +5y = 96 plug in 7 for x 8 (7) + 5y = 96 56 + 5y = 96 subtract 56 from both sides 5y/y = 40/5 y = 8 she bought 7 pink and 8 purple plants

The sum of the reciprocal of a positive number and the reciprocal of 2 more than the number is 3/4 equation: the number is