Module 1C(2) – Day 8

Writing Equations and Inequalities to Represent Amount/ValueSituations

Fill in the blanks.

  1. A motel clerk counts his $1 and $10 bills at the end of a day. He finds that he has three times as many one dollar bills as he has ten dollar bills, and a total of $150.

Define your Variables:

Identify the idea related to quantity of bills: He has three times as many one dollar bills as 10 dollar bills. Write the equation for this idea: ______

Identify the idea related to the value of the bills: He has a total of $150.

Write the equation for this idea: ______

  1. Lisa is a florist. She sells bouquets with tulips and daffodils in the spring. Each tulip costs $1.25 to add to a bouquet, and each daffodil costs $0.50. She sells a bouquet to Tom that has twice as many daffodils as tulips for $11.25.

Define your Variables:

Identify the idea related to quantity of flowers: The bouquet has twice as many daffodils as tulips. Write the equation for this idea: ______

Identify the idea related to the value of the bills: She sells the bouquet for $11.25.

Write the equation for this idea: ______

  1. Marty has 5 times as many nickels in his piggy bank as he has quarters. He has no other types of coins in his piggy bank. Altogether, Marty has $7.20 in his piggy bank. .

Define your Variables:

Write an equation related to the total number of coins: ______

Write an equation related to the total value of the coins:______

  1. Marybeth is buying school supplies for her 5 children. Altogether, she purchases 20 packs of pens and pencils to last her family the entire year. Packs of pens cost $3 each, and packs of pencils cost $2 each. Altogether, she spends $45 on pens and pencils.

Define your Variables:

Write an equation related to the number of packages purchased: ______

Write an equation related to the total cost of the packages: ______

  1. The school is selling tickets for the championship basketball game. The tickets cost $3 for children and $6for adults. The school sold twice as many adult tickets as children’s tickets, and made a total of $2700 on ticket sales.

Write a system of equations to represent this situation: ______, ______

Define your variables: ______

  1. REVIEW: Graph the system of inequalities:

  1. John is ordering caps for his baseball team. He is considering two companies to fulfil his order. Company A charges a $30 fee to place an order plus $2 per cap. Company B charges a $10 fee to place an order, plus $4 per cap.

On a separate sheet of graph paper, write a system of equations to represent the pricing model for each company. Define your variables, and solve the system using a graph.

How many caps will John have to order before it becomes a better deal to order from Company A? ______