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masya89 [10]
3 years ago
13

In the forest were lions and tigers and bears. The ratio of lions to tigers was 4 to 5. The ratio of tigers to bears was 3 to 5.

If there were 12​ lions, how many bears were​ there? ​(Hint​: First find how many tigers there​ were.)
Mathematics
2 answers:
Marianna [84]3 years ago
8 0
Lions to tigers=4:5
lions=12
12=4 units
divide by 4
3=1 unit
tiger=5 untis
3=1 unit
tmes 5
15=5unit=tigers


15=tigers

tigers to bears=3:5
tigers=3 units=15
15=3unit
divide by 3
5=1unit
bears=5unit
5=1unit
times 5
25=5unit=bears

25 bears
VikaD [51]3 years ago
5 0
15 tigers and 25 bears
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5x-4y+-13 and 3x-4y+-11
drek231 [11]
5x + -4y = 13

Solving
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Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
-5x + -4y + 4y = 13 + 4y

Combine like terms: -4y + 4y = 0
-5x + 0 = 13 + 4y
-5x = 13 + 4y

Divide each side by '-5'.
x = -2.6 + -0.8y

Simplifying
x = -2.6 + -0.8y
Simplifying
3x + -4y + -11 = 0

Reorder the terms:
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Solving
-11 + 3x + -4y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 3x + 11 + -4y = 0 + 11

Reorder the terms:
-11 + 11 + 3x + -4y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x + -4y = 0 + 11
3x + -4y = 0 + 11Combine like terms: 0 + 11 = 11
3x + -4y = 11

Add '4y' to each side of the equation.
3x + -4y + 4y = 11 + 4y

Combine like terms: -4y + 4y = 0
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Divide each side by '3'.
x = 3.666666667 + 1.333333333y

Simplifying
x = 3.666666667 + 1.333333333y
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