Mathematics: Desmond made a scale drawing of a shopping center. In real life, a bakery in the shopping center is 64 feet long. It is 176 inches long in the drawing. What scale did Desmond use for the drawing? 11 inches : feet Submit

Desmond made a scale drawing of a shopping center.

joshua1255

12.01.2023

78 ml of 7% vinegar and 312 ml of 12% vinegar.

Step-by-step explanation:

Let x represent ml of 7% vinegar brand and y represent ml of 12% vinegar brand.

We have been given that chef wants to make 390 milliliters of the dressing. We can represent this information in an equation as:

x+y=390...(1)

y=390-x...(1)

We are also told that 1st brand 7% vinegar, so amount of vinegar in x ml would be 0.07x .

The second brand contains 12 vinegar, so amount of vinegar in y ml would be 0.12y .

We are also told that the chef wants to make 390 milliliters of a dressing that is 11% vinegar. We can represent this information in an equation as:

0.07x+0.12y=390(0.11)...(2)

Upon substituting equation (1) in equation (2), we will get:

0.07x+0.12(390-x)=390(0.11)

0.07x+46.8-0.12x=42.9

-0.05x+46.8=42.9

-0.05x+46.8-46.8=42.9-46.8

-0.05x=-3.9

$\frac{-0.05x}{-0.05}=\frac{-3.9}{-0.05}$

x=78

Therefore, the chef should use 78 ml of the brand that contains 7% vinegar.

Upon substituting x=78 in equation (1), we will get:

y=390-78

y=312

Therefore, the chef should use 312 ml of the brand that contains 12% vinegar.

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