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


Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Need help calculating a 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 a 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: