Geology Rocks Equations NAME Mr. Anderson is a geologist and has a laboratory fu

Question

Geology Rocks Equations NAME Mr. Anderson is a geologist and has a laboratory full of rocks. He knows that each rock weighs exactly one pound (+1), and he would like to figure out how many rocks are in each crate. To figure that out without opening the crates, Mr. Anderson places crates and rocks on a scale until they are balanced. Using his math skills, he is able to reason how many rocks are in each crate without having to look inside. The following picture represents the first set of crates and rocks Mr. Anderson put on the balance. How many rocks are inside each crate? 1. Mr. Anderson has made several crates and rocks that balanced. Can you figure out how many rocks are in each set of crate 2. picture representations on his clipboard of other combinations of s? 3.

Explanation / Answer

1) Since the scale is balanced

2 * Mass of Crate + Mass of 2 rocks = Mass of 4 rocks + 1 * Mass of Crate

Mass of Crate = Mass of 2 rocks

Hence there are two rocks in the crate

2) Since the scale is balanced

4 * Mass of Crate + Mass of 2 rocks = Mass of 22 rocks

Mass of Crate = Mass of 5 rocks

Hence there are five rocks in the crate

3) Since the scale is balanced

2 * Mass of Crate + Mass of 12 rocks = 3 * Mass of Crate

Mass of Crate = Mass of 12 rocks

Hence there are 12 rocks in the crate

4) Since the scale is balanced

2 * Mass of Crate + Mass of 8 rocks = Mass of Crate + Mass of 12 rocks

Mass of Crate = Mass of 4 rocks

Hence there are 4 rocks in the crate

5) Since the scale is balanced

5 * Mass of Crate + Mass of 3 rocks = 2 * Mass of Crate + Mass of 24 rocks

3 * Mass of Crate = Mass of 21 rocks

Hence there are 7 rocks in the crate

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