Question

During the week, Brittney earned 1/4 and 1/3 of her monthly bonus on two sales transactions. If those bonuses amounted to $840, how much was her monthly bonus?

Answer 1

Answer:

$142.86

Step-by-step explanation:

Let the bonus be x

This implies that

$\frac{1}{3}x + \frac{1}{4}x = 840$

Multiplying through by the L. C. M(that is 12)

$12 \times \frac{1}{3}x + 12 \times \frac{1}{4}x = 12 \times 840$

$\implies4x + 3x=10080$

$\implies7x=10080$

Dividing through by 7

$\implies \frac{7x}{7} = \frac{10080}{7}$

$\implies x=142.86$

Hence her monthly bonus was $142.86