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Sagot :
Answer:
[tex]Cranberry:Apple:Orange = 7:5:8[/tex]
Step-by-step explanation:
Given
[tex]Apple = 1/4[/tex]
[tex]Orange = 2/5[/tex]
Required
Determine the ratio of Cranberry to Apple to Orange
First, we calculate the fraction of Cranberry using:
[tex]Cranberry + Apple + Orange = 1[/tex]
Substitute values for Apple and Orange
[tex]Cranberry + 1/4+ 2/5= 1[/tex]
Collect Like Terms
[tex]Cranberry = 1- 1/4- 2/5[/tex]
Take LCM
[tex]Cranberry = \frac{20 - 5 - 8}{20}[/tex]
[tex]Cranberry = \frac{7}{20}[/tex]
The ratio is then represented as:
[tex]Cranberry:Apple:Orange = 7/20:1/4:2/5[/tex]
Multiply through by 20
[tex]Cranberry:Apple:Orange = 20(7/20:1/4:2/5)[/tex]
[tex]Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5[/tex]
[tex]Cranberry:Apple:Orange = 7:5:8[/tex]
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