There are 25 plants in arts garden. There are four times as many tomato plants as bean plants. How many tomato and bean plants are there?
Let b represent bean plants.
b + 4b = 25
Solve for b.
To solve this problem, we can set up a system of equations.
Let's say the number of bean plants is "B", and the number of tomato plants is "T".
From the problem, we are given two pieces of information:
1) There are 25 plants in total, so:
B + T = 25
2) There are four times as many tomato plants as bean plants, so:
T = 4B
Now, we can substitute the value of "T" from the second equation into the first equation:
B + 4B = 25
Combining like terms:
5B = 25
Divide both sides by 5:
B = 5
Now we know there are 5 bean plants. To find the number of tomato plants, we can substitute the value of "B" into the second equation:
T = 4 * 5
T = 20
Therefore, there are 5 bean plants and 20 tomato plants.