Evaluate: Percents Benita answered 85% of the test questions correctly. If she answered 9 questions incorrectly, how many questi
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Answer:
B :- 15
Step-by-step explanation:
Given:
A package of red rose contains = 3 pieces
A package of white rose contains = 5 pieces
If an equal number of red and white roses are wanted to make bouquets, what is the minimum number of each that can be purchased ?
Solution:
As here given that there are two types of package of roses, red roses come 3 pieces to each packet and white roses come 5 pieces to each packet and we have to find equal minimum number of red roses as well as white roses to be purchased, we will simply find the Lowest common multiple of 3 and 5.
Multiples of 3 :- 3, 6, 9,12, 15, 18, 21, 24
Multiples of 5 :- 5, 10, 15, 20, 25
<em>Lowest common multiple is 15, that means </em><em>15 is the minimum number of pieces of each that can be purchased to make bouquets.</em>
And number of packets of red rose have to purchase = 3 <em><u>5</u></em> = 15, 5 packages.
And number of packets of white rose have to purchase = 5 <em><u>3</u></em> = 15 , 3 packages.
<h2>Steps:</h2>
So for this, we will be setting up a system of equations with the information we have:
Now we have our system of equations set up. Next, I will be using the substitution method to solve this system. So firstly, subtract y on both sides of the first equation:
Now, substitute x for (13 - y) in the second equation and solve for y as such:
Now that we have the value of y, substitute it into either equation to solve for x:
<u>In short, the first number (x) is 8 and the second number (y) is 5.</u>