the tape diagram shows the number of parts of ice cream to milk (3:4) to make a milkshake. How many parts of ice cream are needed for 10 parts of milk? Write your answer in decimal form. (1 point) There are blank parts of ice cream needed.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
26 days ago

A tape diagram showing the ratio of ice cream to milk as 3:4 means that for every 3 parts of ice cream, there are 4 parts of milk.

To find out how many parts of ice cream are needed for 10 parts of milk, we can set up a proportion based on the given ratio:

\[
\frac{\text{ice cream}}{\text{milk}} = \frac{3}{4}
\]

Let \( x \) be the number of parts of ice cream needed for 10 parts of milk. We can set up the following equation:

\[
\frac{x}{10} = \frac{3}{4}
\]

Now, we can cross-multiply to solve for \( x \):

\[
4x = 3 \cdot 10
\]
\[
4x = 30
\]
\[
x = \frac{30}{4}
\]
\[
x = 7.5
\]

So, there are **7.5 parts of ice cream needed** for 10 parts of milk.