Answer:
4 months and 4 weeks
Explanation:
(a) Calculate the weeks
In one week, Ariana earns $10.
To earn $207, the weeks she must work are:
Weeks = $207 × (1 wk/$10)
= 20.7 wk
Ariana must work 20.7 weeks.
(b) Convert to months and weeks
There are 52 weeks and 12 months in a year
So, 52 weeks = 12 mo nths
20.7 wk = 20.7 wk × (12 mo/52 wk)
= 4.777 mo
Now, convert 0.777 mo back to weeks.
0.770 mo × (52 wk/12 mo) = 3.37 wk
Presumably, Anna won't get paid until the end of the week, so
She must work 4 months and 4 weeks
(Note: On average there are 4⅓ weeks in a month, so she is working just a little less than 5 months.)