I'd seriously appreciate it if anyone could asap! i'll be giving brainliest! mrs. johnson’s class sold cookies for $2.50 each and mr. smith’s class sold popcorn for $1.50 each. together, the classes sold 53 items and earned $105.50 for their school. write and solve a system of equations that models the problem and shows which class earned more money and how much more money the class earn.

Johnson's class earned More money then Smith's class

and amount of more money earned is $44.5

Step-by-step explanation:

Given:

Mrs Johnson Class sold cookies for $2.50 each

Mr Smith class sold pop corn for $1.50 each

Total Items Sold = 53

Total money earned = 105.50

To Find:

Which class earned more money and how much = ?

Solution:

Let x denotes the cookies sold and y denotes the popcorn sold

Now

Money earned by Johnson's class = $2.50 * x

Money earned by Smith's class = $1.50 * y

Total items sold = 51

And it could be written as

Total Cookies sold + total pop corns sold = 51

i.e

x + y = 51                 (i)

Now

Total earned = $ 105.50

which is

Total earned by cookies + total earned by popcorn = $ 105.50

i.e.

2.50 * x + 1.50 * y = 105.50             (ii)

From equation (i) we have

x + y = 51

or

x = 51 - y  (iii)

Putting this value in equation (ii) which is

2.50 * (51-y) + 1.50 * y = 105.50

127.50 - 2.50 y + 1.50 y = 105.50

It becomes

127.50 - y = 105.50

Now subtracting 127.50 from both sides

127.50 - 127.50 -y = 105.50 - 127.50

- y = -22

or

y=22

Pop corns sold = 22

Now from equation (iii) we have

x = 53 - 22

x = 31

Cookies Sold = 31

Now

Money earned by Johnson's class = $2.50 * x

                                                          =  2.50 * 31

                                                          = $ 77.5

Money earned by Smith's class = $1.50 * y

                                                     = 1.50 * 22

                                                     =$ 33

So Johnson's class earned more money

More money earned = 77.5 - 33

                                    =$44.5

salary

step-by-step explanation: