Word Problems/Scale

Advertisement


Question
Hello:

A plastic model kit has a scale of 1:48, and another kit has a scale of 1:72.

1. Is the 1:48 model kit 1 & 1/2 times larger than the kit with the scale of 1:72?

2. Would it require 1 & 1/2 of the 1:72 model kit to equal one 1:48 model kit in all dimensions of length, height and width?

I thank you for your reply.

Answer
The 1:48 model is 1/48 the actual and
the 1:72 model is 1/72 the actual size.

So, what (x) time 1/72 = 1/48?
x/72=1/48 ==> x=72/48=3/2=1.5...so, yes 1.5 larger...

I wouldn't say "...it requires 1 & 1/2 of the 1:72 model kit to equal one 1:48 model kit "
but more accurate to say 1.5 times the 1:72 model (in all dimensions) would be equivalent
to the 1:48 model.

Abe

Word Problems

All Answers


Answers by Expert:


Ask Experts

Volunteer


Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

©2016 About.com. All rights reserved.