#20 a shirt costs $15 more than a pair of shorts. terrell paid $101 for 3 shirts and 5 pairs of shorts. how much did each shirts cost?

$22.

Step-by-step explanation:

Let x represent cost of each shirt and y represent cost of each shorts.

We have been given that a shirt costs $15 more than a pair of shorts. We can represent this information in an equation as:

We are also told that Terrell paid $101 for 3 shirts and 5 pairs of shorts. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:

Therefore, the cost of each shirt is $22.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places