Problem Solving — Screws and Nails
Critical Reasoning - GMAT Question of the Day
August 24, 2021Data Sufficiency - GMAT Question of the Day
August 28, 2021Problem Solving — Screws and Nails
Explanation
Let S be the number of screws, N the number of nails, and H the number of hooks that Joseph bought.
Simplifying by using cents instead of dollars, we have:
(a) 1N + 2H + 3S = 32
We also know the following:
(b) N + H + S = 18
(c) N = 2S
Substituting (c) into both (a) and (b) gives us:
(a) 5S + 2H = 32
(b) 3S + H = 18
To solve the above equations, we can multiply (b) by 2 and subtract (a):
6S + 2H - 5S - 2H = 36 - 32
Thus, S = 4, N = 8, and H = 6.
The correct choice is B.
Simplifying by using cents instead of dollars, we have:
(a) 1N + 2H + 3S = 32
We also know the following:
(b) N + H + S = 18
(c) N = 2S
Substituting (c) into both (a) and (b) gives us:
(a) 5S + 2H = 32
(b) 3S + H = 18
To solve the above equations, we can multiply (b) by 2 and subtract (a):
6S + 2H - 5S - 2H = 36 - 32
Thus, S = 4, N = 8, and H = 6.
The correct choice is B.
