Question

Mary, Eric, and Shen served a total of 112 order Monday at the school cafeteria. Shen served 4 times as many orders as Mary. Eric served 10 more orders than Mary. How many orders did they each serve?Number of Orders Mary Served?Number of orders Eric Served?Number of Orders Shen Served?

Answer 1

Given data

Total no.of order served=112.

Let x,y,z be the no of orders served at the school by mary,eric and shen respectively.

$x+y+z=112\ldots(1)$$z=4x\ldots(2)$$y=10+x\ldots(3)$

subsitute (2) and (3) equation in (1).

$x+(10+x)+4x=112$$\begin{gathered} 6x+10=112 \\ 6x=112-10 \\ 6x=102 \\ x=\frac{102}{6} \\ x=17 \end{gathered}$

susitute x=17 in equation (2),

$\begin{gathered} z=4(17) \\ z=68 \end{gathered}$

susitute x=17 in equation (3),

$\begin{gathered} y=17+10 \\ y=27 \end{gathered}$

Therefore, number of orders Mary served are 17.

number of orders Eric served are 27.

number of orders Shen served are 68