A dog and a cat together cost $100. If the price of the dogs $90 more than the cat, what is the cost

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A dog and a cat together cost $100. If the price of the dogs $90 more than the cat, what is the cost of the cat?

Set up givens and equations

• Let the cost of the dog be d
• Let the cost of the cat be c

We're given 2 equations:

1. c + d = 100
2. d = c + 90

Substitute equation (2) into equation (1) for d
c + c + 90 = 100

Using our math engine, we see that:
c = 5

Substitute c = 5 into equation (2) above:
d = 5 + 90
d = 95