A basket holds no more than 50 lbs of the material. Each gold coin weighs about 0.5 ounces and...

Question:

A basket holds no more than 50 lbs of the material. Each gold coin weighs about 0.5 ounces and each silver coin weighs about 0.25 ounces. Irah wants to know the different numbers of each type of coin that could be in the basket. Write an inequality that models the weight in the basket.

Words and Variables:

When coming up with algebraic expressions from a series of words, it helps to assign some type of unknown variable instead of writing out the full name itself. For example, if we are told that the number of cows and sheep on a farm cannot exceed twenty, rather than writing {eq}cows + sheep \leq 20 {/eq}, we could write {eq}c + s \leq 20 {/eq}.

Let gold coins be denoted by {eq}g {/eq}

Let silver coins be denoted by {eq}s {/eq}

{eq}50 lbs = 8000 oz {/eq}

The inequality model that denotes the weight in the basket can be shown by:

{eq}0.5g + 0.25s \leq 800 {/eq}

Translating Words to Algebraic Expressions

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Chapter 8 / Lesson 17
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In mathematics, word problems can be easier to calculate when they are written as algebraic expressions. Learn how to translate word problems, and explore words and terms related to addition, subtraction, multiplication, division, and equal operations to be able to accurately translate math word problems.