Question

if a number is increased by five and the result is then divided by three, the result is seven . write an equation that models this verbal description and solve the equation for the number described

Answer 1

The equation: 7=(x+5)÷3

Solving:
7=(x+5)÷3
×3 ×3
_________
21=x+5
-5 -5
_______
16=x

Answer 2

The equation that models the verbal description is $\frac{x + 5}{3}$ = 7.

The number described is 16

Let x represent the number described

The following equations model the given verbal description :

• A number is increased by 5 : x + 5

• the result is divided by 3 : $\frac{x + 5}{3}$

• the result is 7 : $\frac{x + 5}{3}$ = 7

In order to determine the value of x, take the following steps

• multiply both sides of the above equation by 3

x + 5 = (7 x 3)

x + 5 = 21

• Subtract 5 from both sides of the equation

x = 21 - 5

x = 16

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