Question

If 32 yd of knitted material is made from 6 lb of yarn, how many yards will be made from 55 lb?

Answer 1

1.

6 lb or pounds of yarn makes = 32 yards

So, 55 lb of yarn will make = $\frac{32}{6}\times55$ = 293.33 yards

Hence, 293.33 yards of knitted material is made from 55 lb of yarn.

2.

Convert 67.5 cu ft to cubic yards.

1 cu ft = 0.037 cu yards

67.5 cu ft = $0.037\times67.5$ = 2.497 cubic yards

3.

$25+30+18+35=108$ minutes

Converting into hours we get

$\frac{108}{60}=1.8$ hours

4.

The total speed of both the boys is = 45 mph+55 mph= 100 mph

The distance will be shortened by 100 miles per hour.

The given distance is 210 miles.

Then the time when they meet should be:

time=distance/total velocity

=210m/100mph= 2.1 hours 

5.

Weight of the package in pounds = 5.4

1 pound = 0.453 kg

5.4 pounds = $0.453\times5.4=2.446$ kg

Hence the weight of the package is 2.446 kg.

Answer 2

1 lb makes 32⁄6 yd (unit yardage).  

55 × 32⁄6 = 2931⁄3 yd

1 cu yd = 27 cu ft

67.5 cu ft = 67.5⁄27 = 2.5 cu yd

25 + 30 + 18 + 35 = 108 min  

108 ÷ 60 = 1 hr and 48 min

Time = Distance ÷ Rate

210 ÷ 100 = 2.1 hr, or 2 hr and 6 min

5.4 lb × 0.4536 = 2.45 kg