SOLUTION: AL, ART AND ANNA WORK IN A STORE. LAST WEEK, ART WORKED 6HRS LESS THAN TWICE AL'S HRS. ANNA WORKED 10HRS MORE THAN ART. ALTOGETHER, THEY WORKED 103HRS. HOW MANY HRS DID ART WORK LA
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Question 689316: AL, ART AND ANNA WORK IN A STORE. LAST WEEK, ART WORKED 6HRS LESS THAN TWICE AL'S HRS. ANNA WORKED 10HRS MORE THAN ART. ALTOGETHER, THEY WORKED 103HRS. HOW MANY HRS DID ART WORK LAST WEEK?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
ART WORKED 6HRS LESS THAN TWICE AL'S HRS. ANNA WORKED 10HRS MORE THAN ART. ALTOGETHER, THEY WORKED 103HRS.
let’s Anna’s work hours be , Al’s work hours be , and Art’s work hours be
given:
they all together worked:
.........1
Art worked less than twice Al’s hours:
................2
Anna worked more than Art:
............3
now, solve this system:
.........1
................2
............3
________________________
take first
.........1...substitute from eq. 3
.....solve for
..........................1a.....go to eq. 2 and substitute
................2....solve for
..go to eq. 1a and substitute
now, go to any eq. above, plug in values for and and find
.........1
so, Art worked hours last week
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