Question

topic 9 block 5 homework suppose the following weights are known: a weighs 1.5 grams. b weighs 1.5 grams. c weighs 1.2 grams. d weighs 1.8 grams. e weighs 1.5 grams. place the charms on the pans so that the right pan is lower. be sure that all five charms are included somewhere in the picture.

Explanation:

Step1: Calculate total weight

Total weight = $1.5 + 1.5 + 1.2 + 1.8 + 1.5 = 7.5$ grams

Step2: Find min right pan weight

To have right pan lower, its weight > $\frac{7.5}{2} = 3.75$ grams

Step3: Calculate left pan current weight

Left pan has A+D = $1.5 + 1.8 = 3.3$ grams

Step4: Assign remaining to right pan

Right pan gets B+C+E = $1.5 + 1.2 + 1.5 = 4.2$ grams, which is > 3.75 grams

Answer:

Left pan (upper): A, D
Right pan (lower): B, C, E