Question

1. harvey is reading a map of the rocky mountains. the map is drawn to scale so that 1.1 inches represents 88 miles. how many miles does 1.3 inches represent?
2. a soccer team requires 2 water coolers per 12 players. how many water coolers need to be brought for a team of 18 players?
3. a bakery orders 30 tubs of frosting for every 143 bags of flour. how many tubs of frosting would it order with a purchase of 312 bags of flour, to the nearest tub?
4. a zoo usually earns $4 from concessions for every $11 of tickets that it sells. if it earned $345 in concessions one afternoon, approximately how much money did it make selling tickets, to the nearest dollar?

Explanation:

Question 2

Step1: Find miles per inch

First, find how many miles 1 inch represents. We know 1.1 inches = 88 miles, so miles per inch is $ \frac{88}{1.1} = 80 $ miles per inch.

Step2: Calculate miles for 1.3 inches

Now, for 1.3 inches, multiply by miles per inch: $ 80 \times 1.3 = 104 $ miles.

Step1: Find coolers per player

First, find the number of coolers per player. For 12 players, 2 coolers, so per player it's $ \frac{2}{12} = \frac{1}{6} $ coolers per player.

Step2: Calculate for 18 players

For 18 players, multiply by coolers per player: $ 18 \times \frac{1}{6} = 3 $ coolers.

Step1: Set up proportion

Let $ x $ be the number of tubs for 312 bags. The proportion is $ \frac{30}{143} = \frac{x}{312} $.

Step2: Solve for x

Cross - multiply: $ 143x = 30\times312 $. Then $ x=\frac{30\times312}{143}=\frac{9360}{143}\approx65.45 $, round to nearest tub is 65.

Answer:

104

Question 3