6. An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday? 8. Stan's Steakhouse has a server to cook ratio of 5 to 2. The total numbor of servers and cooks is 42. How many servers doos Stan's Steakhouse employ?

Respuesta :

The ratio between the child tickets to adult tickets is 8 : 1

The child tickets are more by 147

Let us use the ratio method to solve the question

Child : Adult : difference

8 : 1 : 7 (8 - 1)

x : y : 147

By using cross multiplication

[tex]\begin{gathered} x\times7=8\times147 \\ 7x=1176 \end{gathered}[/tex]

Divide both sides by 7 to find x

[tex]\begin{gathered} \frac{7x}{7}=\frac{1176}{7} \\ x=168 \end{gathered}[/tex][tex]\begin{gathered} y\times7=1\times147 \\ 7y=147 \end{gathered}[/tex]

Divide both sides by 7 to find y

[tex]\begin{gathered} \frac{7y}{7}=\frac{147}{7} \\ y=21 \end{gathered}[/tex]

The total number of tickets = 168 + 21 = 189

The total number of tickets is 189