Twelve of the 20 students in Mr. Skinner’s class brought lunch from home. Fourteen of the 21 students in Ms. Cho’s class brought lunch from home. Siloni is using two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria.If each spinner is divided into 15 congruent sectors, how does the spinner representing Mr. Skinner’s class differ from the spinner representing Ms. Cho’s class?
Answer
A
One more sector of the Skinner-class spinner will represent bringing lunch from home.
B
One fewer sector of the Skinner-class spinner will represent bringing lunch from home.
C
Two more sectors of the Skinner-class spinner will represent bringing lunch from home.
D
Two fewer sectors of the Skinner-class spinner will represent bringing lunch from home.
Explanation
For Mr. Skinner’s class, 12 of 20 students brought lunch, so the fraction is 12/20 = 3/5. Three-fifths of 15 sectors is 9; for Ms. Cho’s class, 14/21 = 2/3, which is 10 of 15 sectors. The Skinner-class spinner has one fewer sector representing bringing lunch from home.
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