Casey has at most $50 to spend on pants. She wants but 3 identical pairs of pants and has a $10 off coupon. Which inequality models all possible prices, p, in dollars, for a pair of pants that casey can afford?

The inequality that models all possible prices, p, in dollars, for a pair of pants that casey can afford is P ≤ 20

Solution:

Given that, Casey has at most $50 to spend on pants.

She wants but 3 identical pairs of pants and has a $10 off coupon.

We have to find which inequality models all possible prices, p, in dollars, for a pair of pants that casey can afford

"p" represents the price in dollars for a pair of pants that casey can afford

Now, we know that,

Money spent casey ≤ $ 50

Cost of 3 identical pairs of pants - coupon worth ≤ 50

3 x cost of 1 pair of pant - 10 ≤ 50

3 x cost of 1 pair of pant ≤ 50 + 10

3 x cost of 1 pair of pant ≤ 60

Cost of 1 pair of pant ≤ 60/3

$ P ≤ 20

P ≤ 20

Hence, the inequality is P ≤ 20