Latoya, Henry, and Manuel served a total of 112 orders Monday at the school cafeteria. Latoya served 7 more orders than Henry. Manuel served 3 times as many orders as Henry. How many orders did they each serve?

Henry: 21

Latoya: 28

Manuel = 63

Step-by-step explanation:

x = orders henry served

x + 7 = orders latoya served

3x = orders manuel served

x + (x + 7) + 3x = 112

5x + 7 = 112

5x = 105

x = 21

x + 7 = 21 + 7 = 28

3x = 3 * 21 = 63

H 21

L 28

M 63

H + (H+7) + 3H = 112

5H = 105

H=21

L = 21+7=28

M=3*21=63

21+28+63=112