Question

A popular candy is manufactured to weigh 0.16 ounces per piece. The pieces aresold in packages of 36. If the allowable amount of variation in weight for onepiece of candy is 0.03 ounces, which of the following equations can be used todetermine the highest and lowest allowable weight, w, of a package of 36 pieces?Assume that the weight of the packaging is negligible

a. â£wâ0.16â£/36=0.03
b. â£wâ5.76â£/36=0.03
c. 36 |wâ0.16| =0.03
d. 36|w-5.76|=0.03

Answer 1

B.) |w - 5.76| / 36 = 0.03

Explanation:

Given :

Weight of individual candy piece = 0.16 ounce

Number of candy pieces per package = 36

Allowable variation in weight of individual piece = 0.03 ounces

The highest and lowest allowable weight, w of a package of 36 pieces ;

Actual manufacturing weight of entire 36 candy = (36 * 0.16) = 5.76

Allowable weight ± actual weight ≤ allowable variation

w ± 0.16 ≤ 0.03

|w - 0.16| ≤ 0.03

For the entire 36 candy pieces :

|w - 0.16*36| = 0.03 * 36

|w - 5.76| = 1.08

|w - 0.16*36| = 0.03 * 36

Could also be written as :

|w - 5.76| / 36 = 0.03