Solution:
Let number of Cookies sold by Mrs. Johnson’s class = x
Let number of Cookies sold by Mrs. Smith class = y
Total Number of Cookies sold by Mrs. Johnson’s class and Mr. Smith’s class=53
Writing in terms of equation the statement which is given above
1. x + y = 53 ⇒y= 53-x
2. 2.50 x + 1.50 y = 105.50
Substituting the value of y, in equation 2, we get
⇒2.50 x + 1.50 (53-x)= 105.50
⇒ 2.50 x + 1.50 × 53 - 1.50 x= 105.50→→[Using Distributive property of addition with respect to multiplication]
Combining like terms using Operations (Addition, Subtraction)
⇒1. 0 x + 79.50=105.50
⇒ x =105.50-79.50
⇒ x= 26
Putting the value of x, in equation (1)
26 + y=53
y= 53 - 26
y= 27
Money earned by Mrs. Johnson’s class = 26 × $2.50=$ 65
Money earned by Mr. Smith’s class = 27 × $1.50=$ 40.50
So, Mrs. Johnson’s class earned more money.
Amount of money that Mrs. Johnson’s class earned exceeds than Mr. Smith’s class= $ 65 - $ 40.50= $ 24.50
