QuestionRosie is making candy bags to give to her friends. The number of lollipops she's including in each bag varies directly with the number of chocolates.
She plans to include 3 lollipops for every 5 chocolates. How many lollipops will she need to buy if she has 75 chocolates?
\begin{tabular}{|l|l|}
\hline A. 45 & Go to Question \# 6 \\
\hline B. 225 & Go to Question \#8 \\
\hline C. 125 & Go to Question \#1 \\
\hline D. 15 & Go to Question \# 15 \\
\hline
\end{tabular}
Studdy Solution
STEP 1
1. The number of lollipops varies directly with the number of chocolates.
2. Rosie plans to include 3 lollipops for every 5 chocolates.
3. Rosie has 75 chocolates.
4. We need to find out how many lollipops Rosie will need.
STEP 2
1. Understand the concept of direct variation.
2. Set up a proportion based on the given ratio.
3. Solve the proportion to find the number of lollipops.
STEP 3
Understand the concept of direct variation. Direct variation means that as one quantity increases, the other quantity increases at a constant rate. In this case, the number of lollipops increases directly with the number of chocolates.
STEP 4
Set up a proportion based on the given ratio. We know that 3 lollipops correspond to 5 chocolates. Therefore, the proportion can be set up as:
where is the number of lollipops needed for 75 chocolates.
STEP 5
Solve the proportion to find the number of lollipops. Cross-multiply to solve for :
Now, divide both sides by 5 to solve for :
Rosie will need to buy lollipops.
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