the cost of a buffet at a restaurant is different for adults and kids. the bill for 2 adults and 3 k

the cost of a buffet at a restaurant is different for adults and kids. the bill for 2 adults and 3 kids is $51. the bill for 3 adults and 1 kid is $45. what is the cost per adult and per kid?

Let the cost for each adult be a
Let the cost for each kid be k

We're given two equations:

1. 2a + 3k = 51
2. 3a + k = 45

To solve this simultaneous set of equations, we can use three methods:

• Substitution Method
• Elimination Method
• Cramer's Rule

No matter which method we use, we get the same answer:

• a = 12
• k = 9