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. (a) write and solve a system of equations that model the problem. show all your work. (b) which class earned more money? (c) how much more money did that class earn?

(a) Mrs. Johnson’s class sold 26 cookies,  Mr. Smith’s class sold 27 popcorn.

(b) Mrs. Johnson’s class earned  Mr. Smith’s class earned Hence, Mrs. Johnson’s class earned more.

(c) Mrs. Johnson’s class earned more.

Step-by-step explanation:

Let x be the number of cookies Mrs. Johnson’s class sold and y be the number of popcorn Mr. Smith’s class sold.

(a) If Mrs. Johnson’s class sold x cookies for $2.50 each, then they earn $2.50x. If Mr. Smith’s class sold y popcorn for $1.50 each, then they earn $1.50y. In total, $2.50x+$1.50y=$105.50.

Together, the classes sold 53 items, then x+y=53.

You get the system of two equations:

Solve it

(b) Mrs. Johnson’s class earned  Mr. Smith’s class earned Hence, Mrs. Johnson’s class earned more.

(c) Mrs. Johnson’s class earned more.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1