Steel is 17 times as heavy as water and silver 10 times as heavy as wa

Question

Steel is 17 times as heavy as water and silver 10 times as heavy as water per unit of volume. In what ratio should these metal be mixed so that the mixture is be 13 times as heavy as water ?

(A) 3 : 2
(B) 9 : 5
(C) 2 : 3
(D) 3 : 4
(E) 1 : 2

landwe12321 · Answer

Not sure if this is correct, but I got D.

I set up the equation of 17x + 10y = some multiple of 13

Went through the answers, the only one that is a multiple of 13 is D, or 3:4.

17(3) + 10(4) = 91

91/13 = 7

ramonbhadauria · Answer

We'll consider all weights in terms of water.

Weight of Steel = 17; Weight of Silver = 10

For a mixture containing x amount of steel and y amount of silver, weight = (17x + 10y)/(x+y) times that of water

(17x+10y)/(x+y) = 13
17x + 10y = 13x + 13y 
4x = 3y
x/y = 3/4

Alternately, trying to solve by plugging in values : 
For option C : 2/3 
Weight of mixture = (2*17+3*10)/(2+3)= 12.8 so the answer should be the next closest fraction. 
For option D : 3/4
Weight of mixture = (3*17+4*10)/(3+4) = 13 which should be the correct answer.

Phoenix19 · Answer

I used alligation method for this 
ie 13-10/17-13 = 3/4.....30 Sec apch

ThenSweat · Answer

Imagine you have two kinds of heavy blocks:

* **Steel** weighs **17**
* **Silver** weighs **10**
* You want the mixture to weigh **13**

We need to figure out how much steel and silver to use.

Think of **13 as being between 10 and 17**:

```text
Silver Mixture Steel
 10 ----------- 13 ------------ 17
```

Now find the distances:

* From **13 to 10** = **3**
* From **17 to 13** = **4**

Here is the important trick:

> The amount of each metal is the distance from the **other** metal.

So:

* Steel gets the distance from **13 to silver (10)** → **3**
* Silver gets the distance from **steel (17) to 13** → **4**

Therefore:

```text
Steel : Silver = 3 : 4
```

✅ **Answer: (D) 3 : 4**

### Quick check

If we mix **3 pieces of steel** and **4 pieces of silver**:

```text
3 × 17 = 51
4 × 10 = 40

Total weight = 51 + 40 = 91
Total pieces = 3 + 4 = 7

91 ÷ 7 = 13
```

The mixture weighs **13 times as much as water**, so **3 : 4 is correct**.

Steel is 17 times as heavy as water and silver 10 times as heavy as wa

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Steel is 17 times as heavy as water and silver 10 times as heavy as wa

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