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# math 113 mod. 7

### Linear equations and problem solving

Question | Answer |
---|---|

A number is 5 less then 2 times another number.The sum of these numbers is 100. | x+y=100 2x-5=y use the substitution method. x+(2x-5)=100 x=35 y=65 |

A rectangle has a perimeter of 124cm. The length is 4 more than 2 times the width. | 2L+2W=124cm 2W+4=L use the substitution method. The width is 20 and the length is 42 |

Rob bought 3 adult tickets and 4 childrens tickets for $76.00. Susan bought 2 adult and 3 childrens tickets for $54.00. How much is one adult ticket and one childrens ticket? | 3A+4B=$76.00 2A+3B=$54.00 use the Addtion method to isolate a or b then solve A=12 and B=10 |

Two angles that are complementry total 90 degrees. One angle is 2 time the second angle. | A+B=90 degrees 2A=B use the substitution method A=30 B=60 |

The company spent $7000 on new equipment supplies to make chairs. Each chair will cost $210 to make. Each will sell for $460. How many chairs will the company have to sell inorder to break even? | 7000+210x=460x -210 -210 7000=250x divide both sides by 250 X=28 chairs |

Created by:
jphimister