# Proportional Reasoning

## Summer Jobs

This summer Owen and Jack will both have part time jobs. Owen will be working as a lifeguard and Jack will be working as a server at a local restaurant. Owen plans to work 15 hours each week and will be making $7 per hour. Jack will make an hourly rate of $2.10 plus 18% of his sales in tips. If Jack averages $30 in sales per hour, how many hours will he need to work in order to make the same amount per week as Owen?

## Thirst Quencher

In the summer months, a common problem people suffer from is dehydration – not enough water in their body. Waiting until you feel thirsty is not a good indicator that it’s time to drink water. In fact, once thirst has settled in, you are already dehydrated! A general guideline is that people should drink eight 8-ounce glasses of water per day. According to this guideline, how many gallons of water should a person drink in a day, given that 1 gallon = 4 quarts and 1 quart = 32 ounces? Express your answer as a decimal to the nearest tenth.

## Father's Day

For Father’s Day, Martin’s family is having a barbeque. Martin is making the lemonade. If the directions calls for 2 tablespoons of mix per quart of water, how many tablespoons of mix are needed to make 1.5 gallons of lemonade?

## The Day That Goes on Forever

March 14 has been dubbed Pi Day. That’s because March 14 is often written 3/14, and a decimal approximation of pi is 3.14. But that’s only if you use decimals and our style of writing dates. In some countries, it’s customary to list the date first followed by the month; for example, March 14 would be 14-3 in some places. Consequently, some places celebrate Pi Approximation Day on July 22, because that date can be written as 22-7, and a fractional approximation of pi is 22/7. What percentage of the year occurs between Pi Day and Pi Approximation Day?

## Shaping Up

Jayden started a new exercise program that includes running, cycling, yoga and aerobics. The chart shows how many calories Jayden burns by doing these exercises. Use this data to answer the questions that follow.

## Happy Halloween

Mrs. Miller bought a half bushel of apples, 16 of which were set aside to be used for apple bobbing at the harvest festival. That left only two-thirds of the apples Mrs. Miller bought. She then used three-fourths of the remaining apples to make four apple pies. If Mrs. Miller was left with just enough apples to make two caramel apples for each of her children, how many children does Mrs. Miller have?

## Fall Leaves

It’s Autumn, and that means leaves are falling! Amber’s house occupies 2650 ft^{2} in the middle of a 50-foot by 80-foot parcel of land, and the leaves that fall cover the ground all around her house. If it takes Amber’s family 4.5 hours to rake all the leaves, how many square feet of leaves did they rake each hour?

## Columbus Day

Christopher Columbus landed in the Americas accidentally. He was actually trying to find a faster trade route to Asia from Spain. Instead of sailing around the tip of Africa, Columbus believed he could sail west across the Atlantic Ocean to reach Asia. In planning his expedition, Columbus calculated the journey would be around 2300 miles, based on his estimation of the earth’s size. Nautical experts of the time disagreed with his calculations, estimating the distance would be closer to 12,200 miles.

## Gourmet Candies

Sugar Shack gourmet candy shop’s signature candy mixture contains Sour Drops, Chocolate Chews and Tangy Twists in the ratio 2:3:4, respectively. How many more pounds of Tangy Twists than Sour Drops are in a 45-pound batch of this signature candy mixture?

## Summer Thrill Rides

Over the summer millions of people around the world visit amusement parks. Previously heralded as the “World’s Largest Amusement Park,” Cedar Point Amusement Park in Sandusky, Ohio earned that title. At one time, Cedar Point had 72 rides, 16 of which are roller coasters. What percent of the Cedar Point’s rides are *not* roller coasters? Express your answer as a decimal to the nearest tenth.