Respuesta :

Answer:

i) 134

ii) Number of bottles sold on Tuesday:   [tex]\dfrac{x}{45}[/tex]

iii) Number of bottles sold on Wednesday:  [tex]\dfrac{(x-75)}{48}[/tex]

iv) [tex]x=3915[/tex]

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 = [tex]\dfrac{(x-75)}{48}[/tex]

iv)

Number of bottles sold on Tuesday:   [tex]\dfrac{x}{45}[/tex]

Number of bottles sold on Wednesday:  [tex]\dfrac{(x-75)}{48}[/tex]

If the number of bottles sold on Tuesday was 7 more than those sold on Wednesday:

[tex]\implies \dfrac{x}{45}-7=\dfrac{(x-75)}{48}[/tex]

multiply both sides by 48:  

[tex]\implies \dfrac{48x}{45}-336=x-75[/tex]

multiply both sides by 45:

[tex]\implies 48x-15120=45x-3375[/tex]

[tex]\implies 3x=11745[/tex]

[tex]\implies x=3915[/tex]

Therefore, 87 bottles were sold on Tuesday and 80 bottles were sold on Wednesday