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

Answer:

(D)6 1/2 lbs

Step-by-step explanation:

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

Difference = 81.25 - 74.75

=6.5 lbs

The correct option is D.