Answer:
orange : cranberry : apple : orange
9 : 5 : 6
Step-by-step explanation:
Given the following ratios (fraction):
[tex]\frac{apple}{total} =\frac{1}{4}[/tex]
[tex]\frac{orange}{total} =\frac{3}{10}[/tex]
in order to add/subtract fractions, we have to ensure that the denominators are the same, we can see that for the denominators listed above, the least common multiple for 4 and 10 = 20, hence we can re-write the above as :
[tex]\frac{apple}{total} =\frac{1}{4} =\frac{5}{20}[/tex]
[tex]\frac{orange}{total} =\frac{3}{10} =\frac{6}{20} [/tex]
Hence,
Fraction of cranberry juice of the total is,
1 - [tex]\frac{5}{20}[/tex] - [tex]\frac{6}{20}[/tex]
= [tex]\frac{20}{20}[/tex] - [tex]\frac{5}{20}[/tex] - [tex]\frac{6}{20}[/tex]
= [tex]\frac{9}{20}[/tex]
Because all the denominators are the same, we can assemble the ratios of each component by taking the ratios of the numerators
cranberry : apple : orange
= ratios of their numerators
= 9 : 5 : 6
