“FUN” PROBLEMS #3
1.
A
reel of recording tape 500 meters long is cut into two pieces of which one is
130 meters
shorter than twice the length of the
other. How long is the longer piece?
2.
When
Mr. Franz and his daughter Marie together stepped on a scale in his packing
plant, the scale
registered 131 kilograms. Mr. Franz weighs 6 kilograms more than 1.5
times as much as Marie.
How much does he weigh?
3.
In
the Apollo spacecraft, the service module weighed 3000 pounds less than 5 times
the weight of
the command module. The
lunar module weighed 1000 pounds less than 3 times the weight of the
command module.
If the total weight of the three modules was 95,000 pounds, how much did
each weigh?
4. It is estimated that,
in addition to pasturage, a dairy cow, weighing about 1000 pounds, in a year
will eat just as many pounds of grain as hay, and 2 1/3 times as many pounds of
silage as hay. If the cow eats 11,700
pounds of grain, hay, and silage, how many pounds of each does she eat?
5. Behind her house Mrs.
Vickers has a rectangular garden whose length is 20 feet less than twice its
width. On three sides of the garden she
installed a chain link fence, but left open the long
side facing her housing. She used 100
feet of fencing. Find the dimensions of
her garden.
6. Mr. Polsky, a packaging expert, designed a
rectangular box having two square faces.
The other four faces of the box were rectangles, each 1 inch longer than
twice as long as it was wide. The sum of
the length (along the longest edge) and the girth of the box was
85 inches. What were the dimensions
(length, width, and height) of the box?
7. Mr. Dollard has 3 times as many eight-cent stamps
as ten-cent stamps and 6 more four-cent stamps than ten-cent stamps. In all, he has 16 stamps. Does he have enough stamps to mail a parcel
for which the postage is 80 cents?
Explain.
8. The three members of the
9. One side of a
triangular lot is 10 feet shorter than three times as long as the second
side. The third side is 9 feet shorter
than the first side. The perimeter of
the lot is 90 feet. How long is each side?