Let x be the weight of the cantaloupe. We know that the watermelons weight four pounds more, this means that the weight of the watermelons can be express as:
[tex]x+4[/tex]Now, the weight of two cantaloupes can be express as 2x while the weight of five watermelons can be express as 5(x+4); hence the total weight is express as:
[tex]2x+5(x+4)[/tex]and we know that this is equal to 27 pounds, hence we have the equation:
[tex]2x+5(x+4)=27[/tex]To determine the weight of each of them we solve the equation above for x:
[tex]\begin{gathered} 2x+5(x+4)=27 \\ 2x+5x+20=27 \\ 7x=27-20 \\ 7x=7 \\ x=\frac{7}{7} \\ x=1 \end{gathered}[/tex]Therefore each cantaloupe weighs one pound and each watermelon weighs 5 pounds.
