Question

Yoko, Austin, and Dante served a total of 105 orders Monday at the school cafeteria, Yoko served 9 fewer orders than Austin. Dante served 4 times as many
orders as Yoko. How many orders did they each serve?

Answer 1

Answer:

Austin: $25$

Dante: $64$

Yoko: $16$

Step-by-step explanation:

Total: $105$

Austin: $y+9$

Dante: $4y$

Yoko: $y$

Equation:

$y+9+4y+y=105\\6y+9=105\\6y=96\\y=16$

Invisible Steps:

Combine like terms: $y+y+4y=6y$

Subtract 9 from each side: $6y+9-9=6y$

                                            $105-9=96$

Divide by 6 on each side: $6y$ ÷ $6=y$

                                           $96$ ÷ $6 = 16$