Answer:
i) 134
ii) Number of bottles sold on Tuesday: ![\dfrac{x}{45}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B45%7D)
iii) Number of bottles sold on Wednesday: ![\dfrac{(x-75)}{48}](https://tex.z-dn.net/?f=%5Cdfrac%7B%28x-75%29%7D%7B48%7D)
iv) ![x=3915](https://tex.z-dn.net/?f=x%3D3915)
Therefore, 87 bottles were sold on Tuesday and 80 bottles were sold on Wednesday
Step-by-step explanation:
i) You need to ensure that the values are both in the same format (either both in dollars, or both in cents).
45 cents = 45/100 dollars = 0.45 dollars
60.30 ÷ 0.45 = 134
ii) both values are in cents, so no need to convert one of them.
Let n be the number of bottles sold.
So 45n = x
Therefore, n = x/45
ii)
Let n be the number of bottles sold.
So 48n = (x - 75)
Therefore, n = ![\dfrac{(x-75)}{48}](https://tex.z-dn.net/?f=%5Cdfrac%7B%28x-75%29%7D%7B48%7D)
iv)
Number of bottles sold on Tuesday: ![\dfrac{x}{45}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B45%7D)
Number of bottles sold on Wednesday: ![\dfrac{(x-75)}{48}](https://tex.z-dn.net/?f=%5Cdfrac%7B%28x-75%29%7D%7B48%7D)
If the number of bottles sold on Tuesday was <u>7 more</u> than those sold on Wednesday:
![\implies \dfrac{x}{45}-7=\dfrac{(x-75)}{48}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7Bx%7D%7B45%7D-7%3D%5Cdfrac%7B%28x-75%29%7D%7B48%7D)
multiply both sides by 48:
![\implies \dfrac{48x}{45}-336=x-75](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B48x%7D%7B45%7D-336%3Dx-75)
multiply both sides by 45:
![\implies 48x-15120=45x-3375](https://tex.z-dn.net/?f=%5Cimplies%2048x-15120%3D45x-3375)
![\implies 3x=11745](https://tex.z-dn.net/?f=%5Cimplies%203x%3D11745)
![\implies x=3915](https://tex.z-dn.net/?f=%5Cimplies%20x%3D3915)
Therefore, 87 bottles were sold on Tuesday and 80 bottles were sold on Wednesday