Question

The ratio of Lauren's jellybeans to Haley's jellybeans is 3:8. Lauren has 50 fewer jellybeans than Haley. How many jellybeans does Lauren have ?

Answer 1

Lauren has 30 jellybeans

Explanation:

Let x - Lauren

Let y = Haley

`(x)/(y)` =
`(3)/(8)` Cross multiply

8x + 3y

x = y - 50 Substitute y - 50 into the equation above for x

8(y -50) = 3y

8y -400 = 3y Subtract 8y from both sides

-400 = -5y Divide both sides by -5

80 = y This is Haley's jellybeans

x = y = 50

x = 80 - 50

x = 30 This is Lauren's jellybeans.