Question

7 Carolina fosters 5 puppies. For each puppy she buys a crate that costs c dollars

and a leash that costs $20. She spends $475 total. Which equations model the
situation? Select all that apply.
A 5c+ 20c = 475
B 5(c+ 20) = 475
C 5c + 100 = 475
D 5c+ 20 = 475
E C + 20 = 475

Answer 1

2 Answers:

Choice B and Choice C

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Reasoning:

c = cost of one crate (some unknown amount in dollars)

c+20 = cost of a crate and a leash

5(c+20) = cost of five sets of items mentioned

5(c+20) = 475 is one equation we can form

5c+100 = 475 is another equation we can form

I used the distributive rule to go from 5(c+20) to 5c+100.

The 100 indicates that the five leashes combine to $100, since 5*20 = 100.

The 5c represents the cost of all five crates combined.

So 5c+100 is another way to express the total cost of all five crates and all five leashes.

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Side note: Solving either equation leads to c = 75, meaning that each crate costs $75.