Lisa needs to make 2 times as many tunas as cheese sandwiches and 4 times as many ham as cheese sandwiches. If Lisa makes 56 sandwiches, how many of each of the 3 kinds will she make?
Let c represent the cheese sandwiches.
c + 2c + 4c = 56
7c = 56
c = 8
Lisa makes 8 cheese sandwiches.
I'm sure you can figure out how many tuna and ham sandwiches she made.
To solve this problem, we can let x represent the number of cheese sandwiches Lisa makes. Since Lisa needs to make 2 times as many tunas as cheese sandwiches, she will make 2x tuna sandwiches. Similarly, Lisa needs to make 4 times as many ham sandwiches as cheese sandwiches, so she will make 4x ham sandwiches.
According to the information given, Lisa makes a total of 56 sandwiches. So, we can set up the equation:
x + 2x + 4x = 56
Combining like terms, we have:
7x = 56
Dividing both sides of the equation by 7:
x = 56/7
x = 8
So, Lisa will make 8 cheese sandwiches, 2x (2 * 8 = 16) tunas, and 4x (4 * 8 = 32) ham sandwiches.
Therefore, Lisa will make 8 cheese sandwiches, 16 tuna sandwiches, and 32 ham sandwiches.