Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Laura and drew went shopping together. Ratio of money laura brought to the money drew brought was 5:7. After they each spent $76, the ratio od money they had left was 3:5. How much more money does Drew have than Laurah

Sagot :

sqdancefan

Answer:

  $76

Step-by-step explanation:

Given the initial ratio of Laura's money to Drew's money is 5:7, and it is reduced to 3:5 after each spends $76, you want to know how much more Drew has than Laura.

Setup

Let L and D represent the money Laura and Drew have to start. The given relations tell us ...

  [tex]\dfrac{L}{D}=\dfrac{5}{7}\\\\\\\dfrac{L-76}{D-76}=\dfrac{3}{5}[/tex]

Solution

Cross-multiplying each equation gives ...

  7L = 5D
  5(L -76) = 3(D -76)

Rearranging, we have ...

  5D -7L = 0

  3D -5L = -2(76)

Subtracting the second of these equations from the first gives ...

  (5D -7L) -(3D -5L) = (0) -(-2)(76)

  2D -2L = 2(76) . . . . . . . simplify

  D -L = 76 . . . . . . . . . . . . divide by 2

Drew has $76 more than Laura.

__

Additional comment

Often, it works well to consider the ratio units. Here, the spending reduces each of the ratio units by 2: 5→3, 7→5. The initial and final difference between the ratio units are both 2: 7-5=2, 5-3=2. This suggests the difference is equal to the spending, $76.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.