Answer:
12 strawberries
Step-by-step explanation:
Represent strawberry with S, grape with G and honeydew with H
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 to fractions
[tex]\frac{S}{36} = \frac{3}{9}[/tex]
[tex]\frac{S}{36} = \frac{1}{3}[/tex]
Multiply both sides by 36
[tex]36 * \frac{S}{36} = \frac{1}{3} * 36[/tex]
[tex]S = \frac{1}{3} * 36[/tex]
[tex]S = \frac{36}{3}[/tex]
[tex]S = 12[/tex]
Hence, there are 12 strawberries
