To find equivalent ratios of 3 : 5, we can multiply or divide both parts of the ratio by the same non-zero number.

1. Multiply both parts by the same number:

   • 3×2:5×2=6:103×2:5×2=6:10
   • 3×3:5×3=9:153×3:5×3=9:15
   • Both of these ratios are equivalent to 3 : 5.

2. Divide both parts by the same number:

   • 3÷3:5÷3=1:533÷3:5÷3=1:35
   • 3÷2:5÷2=32:523÷2:5÷2=23:25
   • Both of these ratios are also equivalent to 3 : 5.

So, two equivalent ratios of 3 : 5 are 6 : 10 and 9 : 15 (by multiplication), and 1 : 5335 and 32:5223:25 (by division).

To divide 60 in the ratio of 2 : 3, we need to find two parts such that their ratio is 2 : 3.

Let the parts be 2x and 3x, where x is the common factor.

According to the given ratio: 2x+3x=602x+3x=60

Combine like terms: 5x=605x=60

Now, solve for x: x=605x=560 x=12x=12

Now, we can find the values of the parts: Part 1=2x=2×12=24Part 1=2x=2×12=24 Part 2=3x=3×12=36Part 2=3x=3×12=36

So, the parts in the ratio of 2 : 3 are 24 and 36, respectively.

To find the ratio of money withdrawn to the total money deposited, we simply divide the amount withdrawn by the total amount deposited.

Given:

• Amount deposited = ₹2050
• Amount withdrawn = ₹410

Now, we'll calculate the ratio of money withdrawn to the total money deposited: Ratio=Amount withdrawn/Total amount deposited

Substitute the given values: Ratio=410/2050

Now, simplify the fraction: Ratio=410/2050=41/205

So, the ratio of money withdrawn to the total money deposited is 41 : 205.

To find out how much blue paint is needed to make 64 liters of green paint, we first need to determine the ratio of blue paint to the total amount of paint in the green mixture.

Given:

• Ratio of blue paint to the total mixture = 2 : (2 + 7 + 1) = 2 : 10 = 1 : 5

So, for every 1 part of blue paint, there are 5 parts in the total mixture.

To find out how much blue paint is needed for 64 liters of green paint, we divide the total amount of green paint by the total parts in the mixture, and then multiply by the parts of blue paint:

Amount of blue paint=1/5×64

Amount of blue paint=64/5

Amount of blue paint=12.8 liters

Therefore, 12.8 liters of blue paint are needed to make 64 liters of green paint.

To find the third term in the proportion when the first, second, and fourth terms are given, we can use the formula for proportions.

In a proportion, the product of the means is equal to the product of the extremes. Therefore, we have:

32/112=x/217

Where x is the third term that we need to find.

To solve for x, we can cross multiply:

32×217=112×x32×

6944=112x

Now, divide both sides by 112:

x=6944/112

x=62

So, the third term in the proportion is 62.