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Tony's club is selling oranges to raise money .For e
very box they sell,they get 1 1/8 dollars profit.They have sold 75 boxes already.How many more boxes must they sell to raise 180 dollars

Respuesta :

jcherry99
Let x = the number of boxes they need to sell to get to 180
(1 1/8) * x + 75*(1 1/8) = 180 There's a number of ways you could solve this. I think the easiest way (or the easiest to explain) is to start by converting 1 1/8 to a decimal

1/8 = 0.125
1 1/8 = 1 + 0.125
1 1/8 = 1.125 Put this result in the equation.
1.125x + 75 * 1.125 = 180
1.125x + 84.375 = 180 Subtract 84.375 on both sides.
1.125x = 180 - 84.375
1.125x = 96.625 Divide by 1.125
x = 96.625 / 1.125
x = 85

They must sell 85 more boxes to raise 180 dollars.


sdgismep6d4p4
This problem is asking whether you know how to deconstruct a problem into an algebraic equation.

profit = $1.125 per box

we know we want the final amount of profit to be $180. We also know 75 were sold already, so the profit from that is:

[tex]75 \times 1.125[/tex]

subtract from total profit to find how much more profit is needed:

[tex]180 - (75 \times 1.125) = 95.625 \\ dollars[/tex]

to find how many boxes is needed to profit 95.63 dollars, divide the value by how much each box profits, $1.125.

[tex] \frac{95.625}{1 .125} = 85 \: boxes[/tex]

to put the problem into one equation, even though it's not asked:

[tex]180 = (x + 75) \times 1.125[/tex]
then solve for x, which will come out to be 85 boxes.

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