9. In ancient China, the following were considered equal units of weight: 1 ??? = 16 ????? = 384 ?h? Solve the following problem: Now given 1 ??? of silk costs 240 coins. Tell: given 1328 coins, how many jin of silk are obtained? Give your answer exactly in units of jin, liang, zhu, and fractions of a zhu.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter25: Achievement Review—section Two
Section: Chapter Questions
Problem 25AR: Engine pistons and cylinder heads are made of an aluminum casting alloy that contains 4% silicon,...
icon
Related questions
Question

9. In ancient China, the following were considered equal units of weight:

1 ??? = 16 ????? = 384 ?h?

Solve the following problem:

Now given 1 ??? of silk costs 240 coins. Tell: given 1328 coins, how many jin of silk are obtained? Give your answer exactly in units of jin, liang, zhu, and fractions of a zhu.

Expert Solution
Step 1

Given that 

    1 jin = 16 liang = 384 zhu

 (1)      Now 1 jin of silk cost  = 240 coins

 that means    for 240 coins  =  1 jin of silk

                      for 1328 coins =  1328240=8315=5.53333  jin of silk.

(2)    Next     5.53333 jin = 384 ( 5.53333 ) zhu

                                       =106245=2124.8 zhu

                                      =212445 zhu

(3)  But 5 jin = 384 ( 5 ) = 1920 zhu

      212445 zhu - 1920 zhu = 20445 zhu

                                            =20445 ÷ 38416 liang

                                            =20445 ÷ 24 liang

                                            =8.5333 liang

                                         

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University