Question

A bottle of water cost dollar W a bottle of juice cost dollar[W+1] alex spends dollsar 22 on bottes of water and dollar 42 on bottles of juice. The number of bottles of waterr is equal to the number of bottles of juice. Find the value of W

Answer 1

The answer is W = 1.1

Let's denote the number of bottles of water and bottles of juice as x.

Given that a bottle of water costs W dollars and a bottle of juice costs W + 1 dollars, the total cost of bottles of water and bottles of juice can be expressed as:

Total cost of water = x * W
Total cost of juice = x * (W + 1)

According to the given information, Alex spends 22 dollars on bottles of water and 42 dollars on bottles of juice. We can set up the following equations:

x * W = 22 ---(1)
x * (W + 1) = 42 ---(2)

To find the value of W, we can solve this system of equations. We'll start by solving equation (1) for x:

x = 22 / W

Substituting this value of x into equation (2):

(22 / W) * (W + 1) = 42

Expanding the equation:

22(W + 1) = 42W

22W + 22 = 42W

Rearranging the terms:

42W - 22W = 22

20W = 22

W = 22 / 20

Simplifying:

W = 1.1

Therefore, the value of W is 1.1.