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Boxes of Christmas decorations are being placed on a shelf at Target. The shelf currently has 730 pounds of stuff on it and can hold up to 2,000 pounds. Each box of Christmas decorations weighs 9 pounds.

Boxes Of Christmas Decorations Are Being Placed On A Shelf At Target The Shelf Currently Has 730 Pounds Of Stuff On It And Can Hold Up To 2000 Pounds Each Box O class=

Sagot :

Answer:

• The inequality is

[tex]730+9x\le2000[/tex]

• The solution to the inequality is

[tex]x\le141.1[/tex]

• The solution means the shelf can hold at most, 141.1 boxes of Christmas decorations.

Explanation:

Given that each box of Christmas decoration weighs 9 pounds, and the shelf can hold up to 2,000 pounds. Since there is 730 pounds already on the shelp, let x represent the number of extra boxes that the shelf can take.

The following inequality is correct:

[tex]730+9x\le2000[/tex]

Solving this, first,

Subtract 730 from both sides of the inequality

[tex]\begin{gathered} 730+9x-730\le2000-730 \\ 9x\le1270 \end{gathered}[/tex]

Divide both sides by 9

[tex]\begin{gathered} \frac{9x}{9}\le\frac{1270}{9} \\ \\ x\le141.1111\approx141.1 \end{gathered}[/tex]

The solution means the shelf can hold at most, 141.1 boxes of Christmas decorations.

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