Question

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

Answer 1

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:


`75 * 1.125`

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


`180 - (75 * 1.125) = 95.625 \\ dollars`

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


`(95.625)/(1 .125) = 85 \: boxes`

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


`180 = (x + 75) * 1.125`
then solve for x, which will come out to be 85 boxes.

Answer 2

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.