Question

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?

Answer 1

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

Answer 2

Henry: 21

Latoya: 28

Manuel = 63

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