Sagot :
• Answers:
1. Lani is going home to Cavite after working for years in Cebu. Each passenger is allowed 20 kilos of baggage on the airplane. Her suitcase weighs 12.7 kilos. What are the possible weight of her other bags to be able to comply with the 20-kilo limit?
Given facts:
Known:
[tex] \bullet \: \tt 20 \: kg \: of \: baggage [/tex]
[tex] \bullet \: \tt 12.7 \: kg \: of \: suitcase[/tex]
Unknown:
[tex] \bullet \: \tt weight \: of \: the \: other \: bags \: (n)[/tex]
Equation:
[tex] \tt 20 \: kg \: - 12.7 \: kg \: = \: n \: kg[/tex]
Solution:
[tex] \tt 20 \: kg \: - 12.7 \: kg \: = \: n \: kg \\ \: \: \: \: \: \tt 20 \: kg \: - 12.7 \: kg \: = \: 7.3 \: kg[/tex]
Checking:
[tex] \tt 7.3 \: kg \ + 12.7 \: kg \: = \: 20 \: kg \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt 20 \: kg \: = \: 20 \: kg[/tex]
Complete Sentence:
☆The possible weight of her other bags is 12.7 kilos.
2. A copper conducting wire measures 95cm in length. It is cut into two pieces. The shorter piece is 5cm shorter than the long piece. Find the length of each piece.
Given facts:
Known:
[tex] \bullet \: \tt 95 \: cm \: wire[/tex]
Unknown:
[tex] \bullet \: \tt length_1=x \: (longer)[/tex]
[tex] \bullet \: \tt length_2=x - 5 \: (shorter)[/tex]
Equation:
[tex] \tt x + (x -5) = 95 \: cm[/tex]
Solution:
[tex] \tt x \: cm+ (x -5) \: cm = 95 \:cm \\ \: \: \: \: \: \: \: \: \: \tt2x \: cm - 5 \: cm = 95 \: cm \\ \: \: \: \: \: \: \: \: \: \: \: \: \tt 2x = 95 \: cm+ 5 \: cm\\ \tt \: 2x = 100 \: cm\\ \: \tt x = 50 \: cm[/tex]
Checking:
[tex] \: \: \: \: \: \: \: \: \: \: \tt x + (x -5) = 95 \: cm \\ \tt 50 + (50 - 5) = 95 \\ \: \: \: \: \: \: \: \: \: \: \: \: \tt 50 + 45 = 95 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt 95 = 95[/tex]
Complete Sentence:
☆The length of each piece, longer and shorter, are 50 centimeters and 45 centimeters respectively.
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