Question 985073
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B=amount produced Country B
A=amount produced Country A=5B
A+B=24,000,000
5B+B=24,000,000
6B=24,000,000
B=4,000,000 ANSWER 1: Country B produces 4,000,000 carats.
A=5B=5(4,000,000)=20,000,000 ANSWER 2: Country A produces 20,000,000 carats.
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A 17 foot piece of string that is cut into two pieces so that the longer piece is five feet longer than twice the shorter piece. If the shorter piece is x feet long find the lengths of both sides 
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S=length of shorter piece
L=length of longer piece=2S+5ft 
S+L=17 feet
S+(2S+5ft)=17ft
3S+5ft=17ft
3S=12ft
S=4ft ANSWER 1: The shorter piece was 4 feet.
L=2S+5ft=2(4ft)+5ft=13ft ANSWER 2: The longer piece was 13 feet.