For each of the following word problems, write a system of linear equations that you can use to solve the problem. Make sure to label what each variable you use represents. You do not need to solve the equation. (a) John has a total of 15 cats and dogs. He has twice as many cats as dogs. How many cats and how many dogs does John have? (b) A movie theater sold a total of 200 adult and child tickets for the opening day showing of the newest super hero movie. The adult tickets sold for $10 each while the child tickets sold for $5 each. The theater sold $1750 worth of tickets. How many of each type of ticket did they sell? (c) Sally invests a total of $30, 000 in two accounts. One account pays interest at a rate of 3% per year and the other pays interest at a rate of 8.5% per year. Sally makes $1, 450 in interest over the year. How much did she invest in each account?
For each of the following word problems, write a system of linear equations that
you can use to solve the problem. Make sure to label what each variable you use
represents. You do not need to solve the equation.
(a) John has a total of 15 cats and dogs. He has twice as many cats as dogs. How many
cats and how many dogs does John have?
(b) A movie theater sold a total of 200 adult and child tickets for the opening day
showing of the newest super hero movie. The adult tickets sold for $10 each while the
child tickets sold for $5 each. The theater sold $1750 worth of tickets. How many of
each type of ticket did they sell?
(c) Sally invests a total of $30, 000 in two accounts. One account pays interest at a rate of
3% per year and the other pays interest at a rate of 8.5% per year. Sally makes
$1, 450 in interest over the year. How much did she invest in each account?
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