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:

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

Try another example

Related math problems and questions:

• Apples and pears
  Apples cost 50 cents piece, pears 60 cents piece, bananas cheaper than pears. Grandma bought 5 pieces of fruit. There was only one banana, and I paid 2 euros 75 cents. How many apples and how many pears?
• Basket of fruit
  In six baskets, the seller has fruit. In individual baskets, there are only apples or just pears with the following number of fruits: 5,6,12,14,23 and 29. "If I sell this basket," the salesman thinks, "then I will have just as many apples as a pear." Whic
• Average weight
  Mom bought 6 apples with an average weight of 130 g - If she took 1 apple out of the bag, the average weight of the remaining apples changed to 140 g. What was the weight of the removed apple?
• Apples 14
  Maya bought 18 apples. She used 50% of the apples to make apple pies and 1/3 of the apples was mixed with other fruits to make salad. How many apples were left?
• Fruits 2
  An apple costs 7p and a melon costs seven times more. How much will 6 apples and 2 melons cost
• In the orchard
  In the orchard, they planted 25 apple trees, 20 pears, 15 plums and 40 marbles. A strong late frost, however, destroyed a fifth of all new trees. Unfortunately, it was all the trees of one kind of fruit. What is the probability that the plums have died ou
• Plums
  In the bag was to total 136 plums. Igor took 3 plums and Mary took 4/7 from the rest. How many plums remained in the bag?
• Unknown numbers
  The sum of two consecutive natural numbers and their triple is 92. Find these numbers.
• Peaches
  There are 20 peaches in the pocket. 3 peaches are rotten. What is the probability that one of the randomly picked two peaches will be just one rotten?
• Apples investment
  The merchant bought a certain amount of apples and paid 1 denarius for every 7 apples. The next day he sold all the apples for 1 denarius for 5 pieces and earned 12 denarii. How many apples did he originally buy and how many did he have to invest in this
• 12 apples
  12 apples and 2 loaves of bread cost 5.76 and 6 apples and 3 loaves of bread cost 7.68. How much is a loaf of bread?
• Two grandmothers
  Two grandmothers went to sell eggs at the market, and they had a total of 100. When they sold all the eggs, they made the same money. The first grandmother says to the second: "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmot
• Trees - orchard
  The 3/5 trees are apple trees and 1/3 of the trees are cherries. The remaining 5 trees are pear trees. How many trees are in the orchard.
• Columns of two and three
  When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are 5 more double columns than three columns. How many students are in the class?
• Homework
  In the crate are 18 plums, 27 apricot and 36 nuts. How many pieces of fruit left in the crate when Peter took 8 ninth: 1. nuts 2. apricots 3. fruit 4. drupe
• Odd numbers
  The sum of four consecutive odd numbers is 1048. Find those numbers ...
• Store
  One meter of the textile was discounted by 2 USD. Now 9 m of textile cost as before 8 m. Calculate the old and new price of 1 m of the textile.