Kilograms of melons

The three melons weigh a total of 18 1/2 kg. The first weighs 1 1/4 kg more than the second and 2 3/4 kilograms more than the third. How much do melons weigh in kilograms?

Final Answer:

a =  7 11⁄12 = 95/12 kg
b =  6 2⁄3 = 20/3 kg
c =  3 11⁄12 = 47/12 kg

Step-by-step explanation:

m=1821​=18+21​=218⋅ 2+1​=236+1​=237​=18.5 kg x=141​=1+41​=41⋅ 4+1​=44+1​=45​=1.25 kg y=243​=2+43​=42⋅ 4+3​=48+3​=411​=2.75 kg  a+b+c=m a=x+b b=y+c a+b+c=18.5 a=1.25+b b=2.75+c  a+b+c=18.5 a−b=1.25 b−c=2.75  Row2−Row1→Row2 −2b−c=−17.25  Row3−−21​⋅ Row2→Row3 −1.5c=−5.875  c=−1.5−5.875​=3.91666667 b=−2−17.25+c​=−2−17.25+3.91666667​=6.66666667 a=18.5−b−c=18.5−6.66666667−3.91666667=7.91666667  a=1295​≐7.916667 b=320​≐6.666667 c=1247​≐3.916667

Try another example


Did you find an error or inaccuracy? Feel free to send us. Thank you!







Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Need help with mixed numbers? Try our mixed-number calculator.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

algebranumbersUnits of physical quantitiesGrade of the word problem

Related math problems and questions: