The first week of January there are 49 dogs and 28 cats in the shelter. Throughout the month the ratio of dogs to cats remains t
he same. The last week of January there are 29 cats in the shelter. How many dogs are there?
1 answer:
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Answer:
<em>h=12, w=24, t=8</em>
Step-by-step explanation:
<u>System of Linear Equations </u>
We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.
We have the following data, being
w = price of a sweatshirt
t = price of a T-shirt
h = price of a pair of shorts
19.
The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as
The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as
The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus
This is the system of equations we need to solve for w,t,h
20.
To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so
Operating
Solving for h
The other two variables are