Question

a coffee merchant sells a customer 3 pound of dominican cafe bustelo at $6.50 per pound. The merchants scale is accurate to within + or - 0.03 pounds. By how much could the customer have been overcharged or undercharged because of possible innacuracy in the scale?

Answer 1

when customer have over charge - $6.31

when customer have undercharge - $6.70

Step-by-step explanation:

Given data:

Charge is $6.50/pound.

Scale is accurate to within
`\pm 0.03 lb`.

therefore, the weight could be .97 [ 1- 0.03] pounds to 1.03 [1 + 0.03] pounds.

From the information given question we have

The customer is paying $6.50.

if weight is 0.97 lb, the customer paid

`(6.50)/(0.97) = $6.70 /lb` rather than $6.50/ lb.

if weight is 1.03 pounds, the customer paid

`(6.50)/(1.03) = $6.31/ lb` rather than $6.50/lb.