Question

A town has two sneaker factories, Sneakerheadz and Nukicks. While Nukicks was closed on Sunday, Sneakerheadz made 900 pairs of shoes. On Monday, both Sneakerheadz and Nukicks made shoes for the same amount of time. Sneakerheadz made sneakers at a rate of 300 sneakers per hour and Nukicks at a rate of 480 sneakers per hour. Nukicks made the same number of pairs of shoes on Monday as Sneakerheadz did on both days.

Write and solve an equation in one variable to find out how many hours the Sneaker factories operated on Monday

Show work

Answer 1

3.33 hours

Explanation:

let the number of hours be x

let the total snickers made be y

for the factory Sneakerheadz

they have 900 pairs on Monday, hence the total sneakers made is

y=600+300x---------1

for the factory Nukicks

they only make sneakers at the rate of 480 per hour

y=480x--------------2

since they both have made the same amount of sneakers, we are going to equate 1 and 2to find x

600+300x=480x

300x-480x=-600

-180x=-600

180x=600

x=600/180

x=3.33hours

The Sneaker factories operated on Monday for 3.33 hours