Answer:
12 strawberries
Step-by-step explanation:
Let
[tex]S = Strawberry[/tex]
[tex]G = Grape[/tex]
[tex]H = honeydew[/tex]
Given
[tex]S : G = 3 : 9[/tex]
S : H = 6 : 14
Required
Solve for S when G = 36
To do this, we make use of the first ratio
[tex]S : G = 3 : 9[/tex]
Substitute 36 for G
[tex]S : 36 = 3 : 9[/tex]
Convert ratio to fractions
[tex]\frac{S}{36} = \frac{3}{9}[/tex]
[tex]\frac{S}{36} = \frac{1}{3}[/tex]
Cross Multiply
[tex]S * 3 = 36 * 1[/tex]
[tex]3S = 36[/tex]
Divide through by 3
[tex]\frac{3S}{3} = \frac{36}{3}[/tex]
[tex]S = \frac{36}{3}[/tex]
[tex]S = 12[/tex]
The (b) part of the question can not be solved with the given details.
However, some equivalent fractions are:
[tex]\frac{1}{2} = \frac{2}{4}[/tex] ---- 0.5
[tex]\frac{5}{15} = \frac{10}{30}[/tex] --- 0.33
[tex]\frac{4}{7} = \frac{8}{14}[/tex] --- 0.57
To get the equivalent fractions, you have to convert the fractions to decimal and then make comparison.
