Question

(For #8 -9) Choose ONE of the application problems below and solve it using a system of 2 equations.

Remember - word problem, word answer.
8. The high school FFA is selling fruit. Together, Kay and Ayan sell a total of 25 boxes. Kay sells 13 less than Ayan.
How many boxes does each girl sell?
Define your variables:
X =
Y =
boxes.
boxes, and Ayan sold
Kay sold

Answer 1

Kay sold 6 boxes and Ayan sold 19 boxes

Explanation:

Let x = number of boxes Kay sells

y = number of boxes Ayan sells

Then the equations will be:

`x+y = 25\\x = y-13`

We can solve the system by using substitution method

Putting x = y-13 in equation 1

`y-13+y = 25\\2y -13 = 25\\2y = 25+13\\2y = 38`

Dividing both sides by 2

`(2y)/(2) = (38)/(2)\\y = 19`

Putting y = 19 in equation 2

`x = y-13\\x = 19-13\\x = 6`

Hence,

Kay sold 6 boxes and Ayan sold 19 boxes