Let's work through the problem step-by-step to figure out how many stamps Xander's cousin collected.
1. Start by identifying what information has been given:
- Xander collected four times as many stamps as his cousin.
- Xander collected 60 stamps.
2. Define the unknown variable:
- Let's let the number of stamps Xander's cousin collected be represented by the variable `C`.
3. Write down the relationship between what Xander collected and what his cousin collected based on the given information:
- If Xander collected four times as many stamps as his cousin, then we can write the relationship as:
[tex]\[ Xander's Stamps = 4 \times Cousin's Stamps \][/tex]
[tex]\[ 60 = 4 \times C \][/tex]
4. Solve for the unknown variable `C`:
- We know that Xander's stamps are 60, so we can replace 'Xander's Stamps' with 60 in our equation:
[tex]\[ 60 = 4 \times C \][/tex]
- Now, we need to solve for `C` (Cousin's Stamps). To do this, we divide both sides of the equation by 4 to isolate `C`:
[tex]\[ \frac{60}{4} = \frac{4 \times C}{4} \][/tex]
- After simplifying the equation, we get:
[tex]\[ 15 = C \][/tex]
- This means that Xander's cousin collected 15 stamps.
So, according to the information given in the problem, Xander's cousin collected 15 stamps.
