In Jayce's favorite video game, he collects stars to earn points. Today, he collected 80 silver stars and earned 160 points. He also collected 30 gold stars and earned 150 points. How many more points per star does Jayce earn from gold stars?

Question

Write your answer as a decimal or a whole number.
points per star

Answer 1

To find out how many points Jayce earns per star for silver and gold stars, we can use the following steps:

1. Calculate points per silver star: Jayce collected 80 silver stars and earned 160 points. The points per silver star is calculated by dividing the total points by the number of stars:

   \[ \text{Points per silver star} = \frac{\text{Total points for silver stars}}{\text{Number of silver stars}} = \frac{160}{80} = 2 \text{ points per silver star} \]

2. Calculate points per gold star: Jayce collected 30 gold stars and earned 150 points. Similarly, the points per gold star is calculated as:

   \[ \text{Points per gold star} = \frac{\text{Total points for gold stars}}{\text{Number of gold stars}} = \frac{150}{30} = 5 \text{ points per gold star} \]

3. Find the difference in points per star: To find how many more points Jayce earns from gold stars compared to silver stars, subtract the points per silver star from the points per gold star:

   \[ \text{Difference} = \text{Points per gold star} - \text{Points per silver star} = 5 - 2 = 3 \]

Thus, Jayce earns 3 more points per gold star compared to silver stars.

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