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WITCHER [35]
3 years ago
14

two watches and one calculator cost 49 dollars in all. Three watches and three calculators cost 99 dollars in all. what is the c

ost of one watch
Business
1 answer:
mr Goodwill [35]3 years ago
8 0
To solve this problem, we are going to set up a system of equations. In this example, we are going to use the variable w to represent the price of a watch and the variable c to represent the price of a calculator. Our two equations come right from the given information:

2w + 1c = 49
3w + 3c = 99

To solve this problem, we are going to manipulate the first equation so we can substitute it into the second equation.

2w + c = 49
c = 49 - 2w

Now, we must substitute this value for c into the second equation.

3w + 3(49 - 2w) = 99

Next we are going to distribute, simplify by combining like terms, and isolate the variable w.

3w + 147 - 6w = 99
-3w = -48
w = 16

Therefore, the cost of one watch is $16.

Hope this helps!
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