Answer :
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.
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.