8.7 Solve proportion and similar figure applications  (Page 6/8)

Ben needs to convert $1000 to the Japanese Yen. One American dollar is worth 123.3 Yen. How much Yen will he have?

A golden retriever weighing 85 pounds has diarrhea. His medicine is prescribed as 1 teaspoon per 5 pounds. How much medicine should he be given?

Five-year-old Lacy was stung by a bee. The dosage for the anti-itch liquid is 150 mg for her weight of 40 pounds. What is the dosage per pound?

Karen eats $\frac{1}{2}$ cup of oatmeal that counts for 2 points on her weight loss program. Her husband, Joe, can have 3 points of oatmeal for breakfast. How much oatmeal can he have?

An oatmeal cookie recipe calls for $\frac{1}{2}$ cup of butter to make 4 dozen cookies. Hilda needs to make 10 dozen cookies for the bake sale. How many cups of butter will she need?

side b

side x

Find the length of side d .

Find the length of side q .

Find the actual distance from New York to Memphis.

Find the actual distance from Chicago to Memphis.

Find the actual distance from New Orleans to Miami.

Find the actual distance from Atlanta to Miami.

A 2 foot tall dog casts a 3 foot shadow at the same time a cat casts a one foot shadow. How tall is the cat?

Larry and Tom were standing next to each other in the backyard when Tom challenged Larry to guess how tall he was. Larry knew his own height is 6.5 feet and when they measured their shadows, Larry’s shadow was 8 feet and Tom’s was 7.75 feet long. What is Tom’s height?

The tower portion of a windmill is 212 feet tall. A six foot tall person standing next to the tower casts a seven foot shadow. How long is the windmill’s shadow?

The height of the Statue of Liberty is 305 feet. Nicole, who is standing next to the statue, casts a 6 foot shadow and she is 5 feet tall. How long should the shadow of the statue be?

Heart Rate At the gym, Carol takes her pulse for 10 seconds and counts 19 beats.

1. ⓐ How many beats per minute is this?
2. ⓑ Has Carol met her target heart rate of 140 beats per minute?

Heart Rate Kevin wants to keep his heart rate at 160 beats per minute while training. During his workout he counts 27 beats in 10 seconds.

1. ⓐ How many beats per minute is this?
2. ⓑ Has Kevin met his target heart rate?

Cost of a Road Trip Jesse’s car gets 30 miles per gallon of gas.

1. ⓐ If Las Vegas is 285 miles away, how many gallons of gas are needed to get there and then home?
2. ⓑ If gas is $3.09 per gallon, what is the total cost of the gas for the trip?

Cost of a Road Trip Danny wants to drive to Phoenix to see his grandfather. Phoenix is 370 miles from Danny’s home and his car gets 18.5 miles per gallon.

1. ⓐ How many gallons of gas will Danny need to get to and from Phoenix?
2. ⓑ If gas is $3.19 per gallon, what is the total cost for the gas to drive to see his grandfather?

Lawn Fertilizer Phil wants to fertilize his lawn. Each bag of fertilizer covers about 4,000 square feet of lawn. Phil’s lawn is approximately 13,500 square feet. How many bags of fertilizer will he have to buy?

House Paint April wants to paint the exterior of her house. One gallon of paint covers about 350 square feet, and the exterior of the house measures approximately 2000 square feet. How many gallons of paint will she have to buy?

Cooking Natalia’s pasta recipe calls for 2 pounds of pasta for 1 quart of sauce. How many pounds of pasta should Natalia cook if she has 2.5 quarts of sauce?

Heating Oil A 275 gallon oil tank costs $400 to fill. How much would it cost to fill a 180 gallon oil tank?

Marisol solves the proportion $\frac{144}{a}=\frac{9}{4}$ by ‘cross multiplying’, so her first step looks like $4·144=9·a.$ Explain how this differs from the method of solution shown in [link] .

Find a printed map and then write and solve an application problem similar to [link] .