carole works at a bookstore and restaurant. In a 28-day period, carole worked 1/4 of the days at the bookstore and did not work 1/14 of the days. On the remaining days carole worked at the restaurant. How many days did carole work at the restaurant during the 28-day period?

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wifilethbridge wifilethbridge · Answer 1 · 2019-01-31T21:36:08+01:00

Answer:

19 days

Step-by-step explanation:

Since he worked 1/4 of the days at book store

He didnot work 1/14 days

Let on x days he worked in a restaurant

So. total of fraction must be :

[tex]1=\frac{1}{4} +\frac{1}{14}+x[/tex]

[tex]1=\frac{18}{56}+x[/tex]

[tex]1-\frac{18}{56}=x[/tex]

[tex]\frac{38}{56}=x[/tex]

So, he worked 38/56 of 28 days in a restaurant.

So, no. of days he worked in restaurant = [tex]\frac{38}{56}*28[/tex]

= 19 days

Hence carole did work for 19 days at the restaurant during the 28-day period

raphealnwobi raphealnwobi · Answer 2 · 2022-02-07T15:05:50+01:00

Carole worked at the restaurant for 19 days during the 28-days period

An equation is an expression that is used to show the relationship between two or more numbers and variables.

From the question:

number of days worked at the bookstore = (1/4) * 28 = 7 days

number of days not worked = (1/14) * 28 = 2 days

Number of days worked at restaurant = 28 - (7 + 2) = 19 days

Carole worked at the restaurant for 19 days during the 28-days period

Find out more on equation at: https://brainly.com/question/13763238