Final answer:
The woodshop club has 6 members and raises $60, while the cooking club has 18 members and raises $90.
Step-by-step explanation:
Let's denote the number of woodshop club members as w. According to the information given, the cooking club has three times as many members, so the number of cooking club members is 3w. Also, we're told that the difference between the number of members in the two clubs is 12, which leads to the equation 3w - w = 12.
Solving for w, we get:
- 2w = 12
- w = 6
So, the woodshop club has 6 members. The cooking club, therefore, has
3 * 6 = 18 members.
The amount raised by the woodshop club is $10 per member, which gives us 6 * $10 = $60. The cooking club raises $5 per member, which yields 18 * $5 = $90.
Therefore, the woodshop club raises $60 and the cooking club raises $90.