# Problem of the Week Problem B What's for Lunch?

Sanji and his 34 classmates always bring sandwiches to school for lunch. One day, everyone brought either a jelly sandwich, or a ham and cheese sandwich, or a tuna salad sandwich.
If the number of students who brought jelly sandwiches ($$J$$) was twice the number who brought ham and cheese ($$H$$), and four times the number who brought tuna salad ($$T$$), how many sandwiches were there of each type?
Hint: What should the total number of sandwiches be?
You may find the table useful for the ‘guess and check’ method.