Digits, Grade 7, Volume 1, Homework Helper

6-5: Additional Problem Solving

Part 1

Example Using Ratios to Solve Real-World Problems

  • a. What is the ratio of the length of the tile to the length of the board?

  • b. What is the ratio of the area of the tile to the area of the board?

  • c. How many tiles will fit on the board without overlapping?

A tile measuring: ¼ ft x 1/6 ft, A board measuring: ¼ yd x 1/6 yd.

Solution

  • a. Find the length of the board in terms of feet. The length of the board is 3 fourths , ft , and the length of the tile is 1 fourth , ft .

    1 fourth , yd , times . fraction 3 ft , over 1 yd end fraction . equals , 3 fourths , ft

    Finding an equivalent ratio.

    The ratio of the length of the tile to the length of the board is 1 third .

  • b. table with 2 rows and 1 column , row1 column 1 , eh equals , 1 sixth , ft middle dot , 1 fourth , ft , row2 column 1 , equals , 1 twenty fourth . ft squared , end table

    table with 2 rows and 1 column , row1 column 1 , eh equals , 3 fourths , ft middle dot , 1 half , ft , row2 column 1 , equals , 3 eighths . ft squared , end table

    A tile measuring: ¼ ft x 1/6 ft, A board measuring: ¼ yd = ¾ ft x 1/6 yd = ½ ft.


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties