Answer:
[tex]Ivy = 24[/tex]
Step-by-step explanation:
Given
[tex]Dennis : Ivy = 7 : 4[/tex]
Required
Determine the amount of sweet Ivy gets when Dennis = 42
We have:
[tex]Dennis : Ivy = 7 : 4[/tex] and
[tex]Dennis = 42[/tex]
Substitute 42 for Dennis in [tex]Dennis : Ivy = 7 : 4[/tex]
[tex]42 : Ivy = 7 : 4[/tex]
Convert to fraction
[tex]\frac{42}{Ivy} = \frac{7}{4}[/tex]
Cross Multiply:
[tex]Ivy * 7 = 42 * 4[/tex]
Divide through by 7
[tex]\frac{Ivy * 7}{7} = \frac{42 * 4}{7}[/tex]
[tex]Ivy = \frac{42 * 4}{7}[/tex]
[tex]Ivy = 6* 4[/tex]
[tex]Ivy = 24[/tex]
