Fruit

There are a total of 28 pear and apple trees in the set. There are no other fruit trees in the set. The numbers of pear and apple trees in this order are in the ratio 3:4.
Which is false?
A. There are 3/4 apple trees among the fruit trees.
B. There are fewer pears than apple trees.
C. There are 1/4 fewer pears than apple trees in the set.
D. There are 4 more apple trees than pears.

Correct answer:

x = A

Step-by-step explanation:

$$\begin{gathered} a=28 \\ h:j=3:4 \\ h=\frac{3}{3+4}\cdot a=\frac{3}{3+4}\cdot 28=12 \\ j=\frac{4}{3+4}\cdot a=\frac{4}{3+4}\cdot 28=16 \\ A \\ {j}_2=\frac{3}{4}\cdot a=\frac{3}{4}\cdot 28=\frac{3\cdot 28}{4}=\frac{84}{4}=21 \\ B \\ j>h \\ C \\ {h}_2=j-j/4=16-16/4=12 \\ D \\ {j}_3=h+4=12+4=16 \\ x=A \end{gathered}$$

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