Examples with solutions for Ratio: שינוי היחס

Exercise #1

In a nursery there are 380 pots, of which 40 are flowers.
How many flowers need to be added so that the ratio between flowers and all pots will be 1:4?

Step-by-Step Solution

The problem requires us to find out how many flowers need to be added to meet a specific ratio of flower pots to total pots.

Let's denote the additional number of flowers needed as x x . The current number of flower pots is 40, and we need to make the ratio of flower pots to total pots 1:4 1:4 .

We can establish the equation based on the desired ratio:

40+x380=14 \frac{40 + x}{380} = \frac{1}{4}

To solve for x x , cross-multiply the terms:

4(40+x)=380 4(40 + x) = 380

Simplify and calculate:

160+4x=380 160 + 4x = 380

Subtract 160 from both sides:

4x=220 4x = 220

Now divide both sides by 4:

x=55 x = 55

Therefore, 55 additional flowers need to be added to achieve the desired ratio.

Comparing this result with the given answer choices, we find that the correct answer is choice 4: 55 55 .

Answer

55