Answer:
20 cats
Step-by-step explanation:
A proportion has to be setup to answer this
5/4 = 25/x
x represents the missing number of cats
This fraction represents the relationship amongst dogs and cats
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To solve cross multiply
5x = 100
(let me down below if you need an explanation on how to cross multiply)
Divide both sides by 5 in order to get the variable by itself
100/5 = 20
x = 20
The shelter has 20 cats
Answer:
Cheryl's age = x = 7 years
Rita's age = y = 17 years
Step-by-step explanation:
Let
Cheryl's age = x
Rita's age = y
Two years ago, Rita was three times older than Cheryl
(y - 2) = 3(x - 2)
y - 2 = 3x - 6
y = 3x - 6 + 2
= 3x - 4
y = 3x - 4
In 3 years, Rita will be twice older than Cheryl
(y + 3) = 2(x + 3)
y + 3 = 2x + 6
y = 2x + 6 - 3
= 2x + 3
y = 2x + 3
Equate both equations
3x - 4 = 2x + 3
Collect like terms
3x - 2x = 3 + 4
x = 7 years
Substitute x = 7 into
y = 2x + 3
= 2(7) + 3
= 14 + 3
= 17
y = 17 years
Cheryl's age = x = 7 years
Rita's age = y = 17 years