Question

benjamin wants to win headphones. in addition to his grandmother and uncle, some friends of his agree that each one will give him a 20$ donation. some other friends agree that each one will pay him 0.25$ for every correct answer. the number of friends who donate 20$ to benjamin is 4 times the number who pay him for correct answers. write and solve and inequality to find the least number of friends who must pay him 0.25$ for each correct answer

Answer 1

n ≥ 3.74

Min #of friends = 4

Explanation:

There are some info missing. Let me say those:

Given

Cost of Headphones = $345

Grandma and Uncle will give = $45

Now let x be the donation of each friend, so x = 20, and

let y be the correct answer friends, y = 0.25

Now, let n represent the number of friends who's gonna give Benjamin $0.25.

Also, we know his Total Income must be greater than or equal to the cost for him to buy the headphone. Thus we can say:

Total Income ≥ Cost

Cost = 345

TOtal Income = 45 (from relatives) + 4n(20) (4n donation friends each giving 20) + 0.25n (n people giving 0.25 each).

Thus, we have:

Total Income ≥ Cost

45 + 80n + 0.25n ≥ 345

80.25n ≥ 300

n ≥ 3.74

Therefore, the minimum number of friends who must pay Benjamin $0.25 for each correct answer in order for him to meet his goal is 4.