On a restaurant sign, 14 light bulbs must be replaced. These light bulbs represent 3/8 of the total number of light bulbs on the sign. If b represents the total number of light bulbs, which equation could be used to determine the value of b?
looks like
(3/8)b = 14
To determine the value of b, we can set up an equation based on the information given.
According to the problem, the 14 light bulbs that need to be replaced represent 3/8 of the total number of light bulbs on the sign.
So we can write this as an equation:
(3/8) * b = 14
In this equation, (3/8) represents the fraction of the total number of light bulbs on the sign (b), and 14 represents the number of light bulbs that need to be replaced.
To solve for b, we can multiply both sides of the equation by the reciprocal of (3/8), which is 8/3:
(8/3) * (3/8) * b = (8/3) * 14
This simplifies to:
b = (8/3) * 14
Now we can finish the calculation to determine the value of b.