15.0k views
0 votes
What is the largest parcel that weighs 5KG could be if the price for sending it is less than three dollars

User Cberner
by
4.8k points

1 Answer

5 votes

Complete question:

A postage company delivers parcels which are in the shape of a cuboid. The length of every side of the parcel must be a whole number of centimeters. The price in cents is determined by multiplying the weight of the parcel (to the nearest kilogram) by 30 and then adding on 20 times the length of the longest side of the parcel.

What is the largest parcel that weighs 5KG could be if the price for sending it is less than three dollars

Answer:

7cm long

Explanation:

Given

Let


w = weight


l = longest\ side


p = price --- in cents

From the question, p is calculated as:


p = 30w + 20l

Required

Calculate the largest parcel when weight = 5 kg and price < $3

Convert price to cents


p <\$3


p <3*100\ cents


p <300\ cents

The formula:
p = 30w + 20l becomes


30 * 5 + 20 * l < 300


150 + 20 * l < 300

Collect like terms


20 * l < 300 - 150


20 * l < 150

Divide both sides by 20


l < 7.5cm

Since the length must be in whole numbers, then the largest parcel is 7cm long

User Nikita Kraev
by
4.6k points