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Sagot :
Solution:
Given:
Two boxes - large and small
[tex]\begin{gathered} Let\text{ the large boxes be represented by }l \\ Let\text{ the small boxes be represented by }s \end{gathered}[/tex]Generate the system of equations from the statements given:
[tex]\begin{gathered} Total\text{ w}eight\text{ of each box is 85 pounds} \\ l+s=85 \\ \\ Total\text{ weight of truck is 4850 pounds} \\ 55l+60s=4850 \end{gathered}[/tex]Solving both equations simultaneously;
[tex]\begin{gathered} l+s=85...................................(1) \\ 55l+60s=4850.........................(2) \\ \\ From\text{ equation \lparen1\rparen,} \\ s=85-l.............................(3) \\ \\ Substitute\text{ s into equation \lparen2\rparen;} \\ 55l+60(85-l)=4850 \\ 55l+5100-60l=4850 \\ 55l-60l=4850-5100 \\ -5l=-250 \\ Divide\text{ both sides by -5} \\ l=\frac{-250}{-5} \\ l=50 \end{gathered}[/tex]Substitute l into equation (3) to get s
[tex]\begin{gathered} s=85-l \\ s=85-50 \\ s=35 \end{gathered}[/tex]Therefore,
Large box: 50 pounds
Small box: 35 pounds
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