To find out how many shark cookies the Marine Discovery Aquarium should order while maintaining the same ratio of shark cookies to clown fish cookies, we can first determine the ratio of shark cookies to clown fish cookies from last month’s sales.
Last month:
- Shark cookies sold: 65
- Clown fish cookies sold: 85
We can express the ratio of shark cookies to clown fish cookies as:
\[ \text{Ratio} = \frac{\text{Shark cookies}}{\text{Clown fish cookies}} = \frac{65}{85} \]
Simplifying this ratio:
\[ \frac{65 \div 5}{85 \div 5} = \frac{13}{17} \]
This means for every 13 shark cookies, they sold 17 clown fish cookies.
This month, they plan to order 170 clown fish cookies. To find out how many shark cookies to order while maintaining the same ratio, we can set up a proportion:
\[ \frac{13}{17} = \frac{x}{170} \]
Where \( x \) represents the number of shark cookies to order. To solve for \( x \), we can cross-multiply:
\[ 13 \times 170 = 17 \times x \]
Calculating the left side:
\[ 2210 = 17x \]
Now, divide both sides by 17 to solve for \( x \):
\[ x = \frac{2210}{17} = 130 \]
Therefore, the Marine Discovery Aquarium should order 130 shark cookies this month.