SOLUTION: Sarah said, "I counted my beads, and I have 3 more than 4 times a certain mystery number." Jasmine had the same amount of beads as Sarah, bus said she had 9 less than 5 times the

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Question 511509: Sarah said, "I counted my beads, and I have 3 more than 4 times a certain mystery number." Jasmine had the same amount of beads as Sarah, bus said she had 9 less than 5 times the mystery number. They challenged their art teacher to discover the mystery number.
a. What equation could the art teacher use to find the number?
b. What is the mystery number?
c. How many beads does each girl have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the mystery number x
given:
Sarah's beads:
+4x+%2B+3+
Jasmine's beads:
+5x+-+9+
(a)
They had the same number of beads, so
+4x+%2B+3+=+5x+-+9+
(b)
Subtract +4x+ from both sides
+3+=+x+-+9+
Add +9+ to both sides
+12+=+x+
or,
+x+=+12+