Question

Greta and Marge are collecting money for a local charity by taking donations outside of busy
local businesses. Hoping to collect the most money today, Greta gets to her collection spot and
begins collections at 8am. Marge wanted to sleep in so she didn't start collections at her spot
until 11am, by which time Greta had already collected $45.00. If Greta continues to collect
money at a rate of $15 per hour, Marge collects money at a rate of $20 per hour and they each
take a 1 hour break at 2pm, at what time will Greta and Marge have collected the same amount
of money?​

Answer 1

Answer:

At 9pm Greta and Marge have collected the same amount  of money.

Step-by-step explanation:

Consider the provided information.

Let x represents the number of hours Greta and Marge are both collecting.

It is given that  Greta had already collected $45.00 till 11 am.

Greta = 45 + 15x

Marge collects money at a rate of $20 per hour.

Marge = 20x

Greta and Marge have collected the same amount  of money.

Thus,​

45 + 15x = 20x

45 = 5x

9 = x

Hence, once Marge starts collecting, it would take 9 hours to collect same amount of money.

9 hours after 11am is 8pm. It is given that there is a break time of 1 hour

Hence, at 9pm Greta and Marge have collected the same amount  of money.