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?

Respuesta :

Answer:

$142.86

Step-by-step explanation:

Let the bonus be x

This implies that

[tex] \frac{1}{3}x + \frac{1}{4}x = 840[/tex]

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

[tex]12 \times \frac{1}{3}x + 12 \times \frac{1}{4}x = 12 \times 840[/tex]

[tex] \implies4x + 3x=10080[/tex]

[tex] \implies7x=10080[/tex]

Dividing through by 7

[tex]\implies \frac{7x}{7} = \frac{10080}{7} [/tex]

[tex]\implies x=142.86[/tex]

Hence her monthly bonus was $142.86