Omar was paid on friday. on saturday he spent 1/4 of his pay and on sunday he bought a new smartphone with 2/3 of the remainder. after spending $15 on dinner, omar had 20% of his pay left. what was omar paid on friday? explain how to set up the equation to solve the problem

Friday: 300 dollars

Step-by-step explanation:

Let Omar's pay on Friday = x

Friday:     x

Saturday:  1/4 x was spent.

Sunday:  2/3 *(x - (1/4)x ) = 2/3 * (3/4x) = (2*3/(3*4)x = (6/12)x = 1/2x

Dinner:  15 dollars

Remainder = 20% x = 20/100 x = 0.2x

x - (1/4x + 1/2(x) + 15) =  0.2x          Combine like terms on the left  

x - (3/4x + 15) = 0.2x                       Remove the brackets

x - (3/4)x - 15 =  0.2x                       Combine like terms on the left

(1/4)x - 15 = 0.2x                             Change 1/4 to a decimal

0.25x - 15 = 0.2x                            Subtract 0.25x from both sides

0.25x - 0.25x - 15 = 0.2x - 0.25x  Combine

- 15 = - 0.05x                                   Divide by - 0.05

-15 /-0.05 = - 0.05 x/ 0.05

300 = x

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!