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Richard spent over $220 at an office supply store. He bought x reams of paper for $9 each and eight boxes of pens for $5 each. Model Richard's situation with an inequality, and solve for x. What can be interpreted about the solution of the inequality?

Respuesta :

We are given

Richard spent over $220 at an office supply store

so, total money spent over =$220

He bought x reams of paper for $9 each

So, money spent on paper is

[tex]=9x[/tex]

eight boxes of pens for $5 each

so, money spent on pens is

[tex]=5\times 8[/tex]

[tex]=40[/tex]

now, we can find total money spent

so, total money spent is

[tex]=9x+40[/tex]

now, we are given maximum money he can spent over $220

we get

[tex]9x+40\geq 220[/tex]

So, inequality is

[tex]9x+40\geq 220[/tex]

now, we can solve for x

Subtract both sides by 40

[tex]9x+40-40\geq 220-40[/tex]

[tex]9x\geq 180[/tex]

Divide both sides by 9

[tex]x\geq 20[/tex]

Interpretation:

Since, x is the number of reams of paper

so, he can buy more than  20 reams of paper...........Answer

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