Question

Two times the quantity of seven less than one-fourth of a number is equal to four more than one-third of the number. What is the number?

Answer 1

Answer:

The number is 17$\frac{1}{7}$

Step-by-step explanation:

Let the number be x;

2(7) - $\frac{1}{4}$x = 4 + $\frac{1}{3}$x

Simplifying gives,

14 - 0.25x = 4 + $\frac{1}{3}$x

14 - 4 = $\frac{1}{3}$x + $\frac{1}{4}$x

10 = $\frac{4 + 3}{12}$x

10 = $\frac{7}{12}$x

x = 120 ÷ 7 = 17$\frac{1}{7}$