Business Mathematics Brief 12th Edition by Stanley Salzman ,Gary Clendenen, Charles Miller

Exercise 28

Solve for base in each of the following. Round to the nearest hundredth. (See Example.)
Solving for Base
Solve for base, using the formula B =

(a) 8 is 4, of _______.
(b) 135 is 15, of _______.
(c) 1.25 is 25, of _______.
SOLUTION
(a)

(b)

(c)

The basic percent formula is P = R × B. Show how to find the formula to solve for B (base). (See Objective.)
OBJECTIVE 1 Use the basic percent formula to solve for base. In some problems, the rate and part are given, but the base, or whole, must be found. The formula P = R × B can be used to get the formula for base. The following circle diagram may help. To find the formula for base, cover B with your finger. This leaves P divided by R, so



Scott and Andrea Abriana can afford a monthly house payment of only 28% of their income, or $1386. To find their monthly income, insert the rate of 28% and the part, or monthly payment of $1386, into the formula. Be sure to first convert 28% to its decimal equivalent,.28.

Their monthly income is $4950.