SOLUTION: Archaeologists find pottery fragments and shell beads at an ancient site. There are 87 objects in all. There are 65 more pottery fragments than shell beads. What system of linear e

Algebra.Com
Question 1023241: Archaeologists find pottery fragments and shell beads at an ancient site. There are 87 objects in all. There are 65 more pottery fragments than shell beads. What system of linear equations will represent this scenario?
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
Archaeologists find pottery fragments and shell beads at an ancient site. There are 87 objects in all.
There are 65 more pottery fragments than shell beads. What system of linear equations will represent this scenario?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x = the number of pottery fragments 
and y = the number of shell beads.

Then

x + y = 87,
x = y + 65.

or (which is the same)

x + y = 87,
x - y = 65.


RELATED QUESTIONS

Archeologists find pottery fragments and shell beads in an ancient site. There are 98... (answered by ikleyn)
3/5 of the beads in abox are yellow beads. The rest are red beads and blue beads. There... (answered by stanbon)
There are 16 red beads, 24 green beads, and 20 blue beads in a box. What fraction of the... (answered by lynnlo)
An urn is filled with coins and beads, all of which are either silver or gold. Twenty... (answered by CharlesG2)
2/3 of the beads are red 1/4 are yellow and the rest are blue there are 42 more red beads (answered by math_tutor2020,math_helper)
There are 9 beads in a bag. 3 beads are red, 3 beads are blue, and 3 beads are black. If... (answered by stanbon)
Near Three Rivers, NM, there is an archaeological site containing petroglyphs. In 1998,... (answered by ankor@dixie-net.com)
The ratio of the number of red beads to blue beads in a box was 3:1. 3 more red and 4... (answered by vleith)
A box contains wood beads, red glass beads, and blue glass beads. The number of glass... (answered by ewatrrr)