Fruit equation

Find how many peaches could be bought instead of buying one melon, one pear, one apple and two plums if
we know that:
• Melon and plum cost the same as three apples
• if we subtract the price of a pear from the price of peach, we get the price of plum
• Two peaches and one pear stand together just like a melon and an apple
• Apple and pear stand together just like plum and peach together.

Correct answer:

x =  4

Step-by-step explanation:

$$\begin{gathered} m+s=3\cdot j \\ b-h=s \\ 2\cdot b+h=m+j \\ j+h=s+b \\ b=1 \\ 3j-m-s=0 \\ b-h-s=0 \\ 2b+h-j-m=0 \\ b-h-j+s=0 \\ b=1 \\ h={\displaystyle \frac{5}{8}}=0.625 \\ j={\displaystyle \frac{3}{4}}=0.75 \\ m={\displaystyle \frac{15}{8}}=1.875 \\ s={\displaystyle \frac{3}{8}}=0.375 \\ x=m+h+j+2\cdot s=1.875+0.625+0.75+2\cdot 0.375=4 \end{gathered}$$

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