Question

the scientist's collection that has granite that weighs 74 26/36 lbs, marble that weighs 63 16/34 lbs, and quartz that weighs 81 9/40 lbs. Approximately each quantity to the nearest 1/4 how much more does the quartz weigh than the granite? a 6 lbs b 6 3/4 lbs c 11 1/4 lbs d 6 1/2 lbs

Answer 1

(D)6 1/2 lbs

Explanation:

`\text{Weight of the quartz = }81 (9)/(40) \text{ lbs}\\(9)/(40)=0.225 \\$Therefore:$ 81 (9)/(40) \approx 81.25\text{ lbs (to the nearest 1/4 lbs)}\\\text{Weight of the granite = }74 (26)/(36) \text{ lbs}\\ (26)/(36)=0.722 \\$Therefore:$74 (26)/(36) \approx 74.75\text{ lbs (to the nearest 1/4 lbs)}`

Difference = 81.25 - 74.75

=6.5 lbs

The correct option is D.