Question

a carpenter agrees to work under the condition that she is to be paid $55 every day she works and she must pay $66 every day she does not work. at the end of 30 days, she finds she has earned 77$. how many days did she work?

Answer 1

Answer:

17 days

Step-by-step explanation:

For each day she works, she earns +55 and each day she DOES NOT work she earns -66. Total 30 days.

Let number of days she works be x

thus, number of days she DOES NOT work is 30 - x

We can setup an equation as:

55(x) + -66(30-x) = 77

This means, she works x days for 55 each and 30 - x days getting -66 each, totalling 77.

We can solve for x to find number of days she worked. Work shown below:

$55(x) + -66(30-x) = 77\\55x-66(30)+66x=77\\121x -1980 = 77\\121x = 77+1980\\121x = 2057\\x=\frac{2057}{121}\\x=17$

Thus, she worked 17 days