Sherita's club is selling grapefruit to raise money. For every box they sell, they get $1.35 profit. They have sold 84 boxes already. How many more boxes must they sell to raise 270 dollars?
Answers
AnswEr :
- 1 Box = $1.35 Profit
- Sherita's club sold 84 boxes already.
- How many more boxes must they sell to raise 270 dollars?
Let the Number of Boxes yet to sell be n.
• Let's Head to the Question Now :
↠ Boxes × Rate = Total Profit
↠ (Sold × Rate) + (n × Rate) = Total Profit
↠ (84 × $1.35) + (n × $1.35) = $270
↠ (84 + n) × $1.35 = $270
- Dividing both term by $1.35
↠ (84 + n) = 200
↠ n = 200 – 84
↠ n = 116
∴ 116 more boxes must sold to raise $270.
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• V E R I F I C A T I O N:
⇒ Boxes × Rate = Total Profit
⇒ (Sold × Rate) + (n × Rate) = Total Profit
⇒ (84 × $1.35) + (116 × $1.35) = $270
⇒ $113.40 + $156.60 = $270
⇒ $270 = $270 ⠀⠀⠀⠀⠀⠀Hence, Verified!
Given:
Profit on 1 Box = 1.35$
No. of Boxes sold = 84
To find:
We have to find the number of boxes to sell to raise 270$.
Solution:
Let the number of boxes to be sold = x
Total profit = Rate of boxes × No. of boxes
= ( x × 1.35) + (Boxes Sold × Rate)
200 = (x × 1.35) + (1.35 × 84)
= (84 + x) × 1.35 = 200
Dividing both sides by 2,
200 = (84+x)
x = 200 - 84
x = 116
Therefore, 116 more boxes should be sold to raise 270$.
To verify the answer, we can keep this value in formula and check the answer:
Total Profit = Boxes × Rate
Total Profit = (Sold × Rate) + ( x × Rate)
= (84 × 1.35) + (116 × 1.35) = 270
= 113.40 + 156.60 = 270
= 270 = 270 ⠀⠀⠀