Question

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?

Answer 1

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

`\begin{gathered} x*7=8*147 \\ 7x=1176 \end{gathered}`

Divide both sides by 7 to find x

`\begin{gathered} (7x)/(7)=(1176)/(7) \\ x=168 \end{gathered}`
`\begin{gathered} y*7=1*147 \\ 7y=147 \end{gathered}`

Divide both sides by 7 to find y

`\begin{gathered} (7y)/(7)=(147)/(7) \\ y=21 \end{gathered}`

The total number of tickets = 168 + 21 = 189

The total number of tickets is 189