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34kurt
2 years ago
8

the first week of January there are 48 dogs and 28 cats in the animal shelter. Throughout the month the ratio of dogs to cats re

mains the same. The last week of January there are 29 cats in the shelter. How many dogs are there?
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
5 0

Answer:49 cats

Step-by-step ex

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<h3>Given :-</h3>

\\

  • x=y-1
  • x+2y=8

\\

<h3>To find:</h3>

\\

  • Value of x
  • Value of y

\\

<h3>Solution:-</h3>

Let say it is first equation:-

x=y-1. . . . (1)

and this is second equation:-

x+2y=8 . . . . (2)

\\  \\

Simplifying 1 equation:-

  • x = y - 1
  • x +1 = y
  • y = x + 1

Put this value of y in second equation.

\\

\dashrightarrow \sf \: x+2y=8

\\

\dashrightarrow \sf \: x+2(x + 1)=8

\\

\dashrightarrow \sf \: x+2x +2=8

\\  \\

\dashrightarrow \sf \: 3x +2=8

\\  \\

\dashrightarrow \sf \: 3x=8 - 2

\\  \\

\dashrightarrow \sf \: 3x=6

\\  \\

\dashrightarrow \sf \: x=6 \div 3

\\  \\

\dashrightarrow \sf \: x= \bf2

\\

to find value of y :-

y = x + 1

y = 2 + 1

y = 3

\\

verification:-

\\

1 equation:-

x = y - 1

put value of x and y

2 = 3 - 1

2 = 2

LHS = RHS

Hence verified!

\\

2 equation:-

\\

  • x+2y=8

put value of x and y

  • 2 + 2 × 3 = 8
  • 2 + 6 = 8
  • 8 = 8

LHS = RHS

Hence verified!

\\

Both equation verified!

.°. value of x and y is 2 and 3 respectively

7 0
2 years ago
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