The table shows the number of grade 7 and grade 8 students on the student council at Jeremy’s school.
2 answers:
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Given:
Seventy cards are numbered 1 through 70, one number per card. One card is randomly selected from the deck.
To find:
The probability that the number drawn is a multiple of 3 and a multiple of 5.
Solution:
Total number from 1 to 70 = 70
Multiple of 3 from 1 to 70 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69.
Multiple of 5 from 1 to 70 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70.
Numbers which are multiply of both number 3 and 5 = 15, 30, 45, 60
Number of favorable outcomes = 4
Therefore, the required probability is .
Option A
is one way to determine the factors of
by grouping
<em><u>Solution:</u></em>
Factoring by grouping means that you will group terms with common factors before factoring
<em><u>Given expression is:</u></em>
Group the first two terms together and then the last two terms together.
We can see that is common in first two terms
And 3 is common in last two terms
Factor them out
Thus option A is correct