Welcome to The First Day of Customizable Proportion Problems

Solve each problem below by setting up a proportion and or a product of rates.
When you have each answer, cross off the letter it corresponds to in the decoder grid. When all the correct answers are crossed off, only the password to the treasure will remain. You can enter the treasure room at the bottom of the page with the correct password.

1) has a candy apple red, convertible Mustang GT. In the last year she has driven 11,645 miles in it and she has changed the oil four times. If she continues maintaining her car at this rate, and she only drives 5,700 miles next year, about how many times will she change the oil?

2) races quads for fun and money every weekend in the summer and fall. She gets a real thrill beating out guys on her hot pink, specially detailed, Suzuki, Quad Racer. Her sponsors are proud to buy her gear and new bikes, because she wins, and it brings them fame too.

last qualifying heat returned her a time of 37 seconds for 1.2 miles of course. If she maintains this speed, during the actual race which is 3.5 miles long, how long will it take her to finish the race to the nearest second?

3) is a shark hunter. She knows statistics have shown that 7 out of 342 hunts will turn harmful to the hunters with people getting legs torn off or gaping holes bit out of their stomachs, or even death. When talks to her mom on the phone, she always tells her she is just fine, and that her job is even LESS dangerous than that of a flight attendant. In reality, has seen her share of blood and gore. Today will be her 289th hunt. If the statistics are correct, how may hunts gone harmful has witnessed, and NOT TOLD HER MOM about? (Be sure to round your answer down, since you can't have a fraction of a harmful hunt.)

 

 

4) It may surprise some of you to know that in the seclusion of his wooded campground on lake FingerFoo in the northern Catskill Mountains takes great enjoyment and personal satisfaction from private, midwinter, seminude, swims.

He's a physical therapist who likes to push his endurance to the limit. He knows his body temperature will drop 2.5 degrees every 7 seconds that he is in the ice cold water. He also knows that hypothermia will set in if his body temperature drops below 65 degrees Fahrenheit, and he will die. How long can swim and not go UNDER 65 degrees if his body temperature is 98.6 degrees when he jumps in lake FingerFoo?

5) is the hottest young starlet to reach the opera stage . Her voice is captivating audiences around the world. People are spell bound as this woman of demure frame, opens her delicate mouth and belts out arias with the force of a Mack Truck engaging its emergency braking system.

It is said that Miss lungs can hold a cubic foot of air and that it takes her a full 9.5 seconds to expel this air while singing. If she sings for thirty-five minutes during the opera, to the nearest cubic foot, how much air will she expel through her lungs while singing?

6) volunteers at the Humane Society every Saturday morning.


His job is dog dew removal and general sanitization of the individual cages. He is quite proud of the fact that he can fully clean and disinfect 3 cages in ten minutes. This is faster than poor who also volunteers there, but can only do 4 cages in fifteen minutes. If both of these valiant citizens give one and one half hours of their time, how many more cages will clean than ?

 

 

7.) owns and operates the DANCING FEET OF FLAME dance studio in downtown Saltsburg. There he trains the best and most promising young men and women to dance. His specialty is Irish tap dancing , although he has been known to sprinkle in a class or two of ballet from time to time.

He charges for his dance classes as follows:
$15.75 per person for a lesson.
He teaches 9 people per class.
He runs 5 classes per day.
He works five days per week.
His studio is open 45 weeks per year.

How much money does he earn per year?

*NOTE: this is a rate multiplication problem.

8) are brothers. All of their lives they've competed against each other in everything. At the age of 8 months it was who could crawl to the couch and stand up first. At the age of five, it was who could ride their bike without training wheels the farthest before crashing. Now at the age of 15, it's who can eat the most spaghetti in a given amount of time.

Yes, it's true, both boys are entered in the all famous "STUFF YOUR FACE FOR FUN AND FAME" spaghetti eating contest down at the Shelocta Sportsman's Club. Each contestant will be given two pounds of spaghetti and 10 full minutes to devour like a maniac. The contestant who has the least left after ten minutes gets a year's supply of horseshoes and a free pass to this year's turkey shoot.

has been clocked at 1/4 pound of spaghetti consumed in 3.5 minutes. best time so far is 1/3 lb. in four minutes flat. If both boys eat at their best rates, to the nearest tenth of a pound, how much will they each eat in the 10 minute contest?

9) trap, kill, and skin raccoons for pocket money. Then they take the fluffy striped skins, dry them out, apply special moisturizing lotions and they sew them into rugs. Their raccoon skin rugs feel wonderful under your bare feet between your toes. They are made in two sizes, 3' x 5' and 4' x 8'. The smaller rugs are $225 each and the big ones are $500 each.

makes all the small rugs and she can get 2.5 done in 12 hours. makes all the big rugs and she can get 1.75 done in 15 hours. If they each work for 40 hours, how many small rugs and how many big rugs will they make?

10) own and operate the THREE MEN IN A TUB bake shop.

They produce the most scrumptious pies and cakes, but are most famous for their "Funnel Flakes". These flakes are light and airy and as big as the seat of a kitchen chair. job is to decorate the flakes with their famous purple and green sparkle icing. He is a true artist, and each flake is a unique piece worthy of presentation on any of the finest tables in town. The guys hang their flakes from hooks on the ceiling. When you enter their bake shop it looks like there are shiny, purple Manta Rays floating in the air. You point to the one you want to take home and will cut it down for you and wrap it up.

The guys can produce 7 funnel flakes in 12 minutes. How many will they make in four hours? If they sell for $3.75 each, how much will they earn?

Answer Decoder Grid

221
84, 375
5
250,45.86
6.5, 7.2
3
c
g
p
o
r
m
108
8 1/3, 4 2/3
2
3.2, 4.1
234
j
y
f
i
l
140, 525
0.7 , 0.8
439
94.08
159,468.75
7
t
d
l
s
w
a

 

When you KNOW the password

 

 

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