If discriminant is zero, how many solutions do I have?
1 answer:
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Answer:
(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.
