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Angelo and Jimmy went shopping. Angelo has a dollars m. He spent 1/3 of that money on new jeans. Jimmy had j dollars in his wallet. He spent 1/2 of that money to n a new jacket. Jimmy had more money than Angelo. What's an expression that shows the difference between amounts of meant each not had left.

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opudodennis

Answer:

[tex]\frac{1}{2}j-\frac{2}{3}m[/tex]

Step-by-step explanation:

-Angelo spent a third of her money on a new jeans. Her balance is thus:

[tex]B_a=m-\frac{1}{3}m\\\\=\frac{2}{3}m[/tex]

-Jimmy spent half of her amount on a new jacket. His balance is therefore calculated as:

[tex]B_j=j-\frac{1}{2}j\\\\=\frac{1}{2}j[/tex]

Given that [tex]j>m[/tex], the difference between the amounts left is expressed as:

[tex]j>m\\\\\frac{1}{2}j-\frac{2}{3}m[/tex]

Hence, the difference between the amounts left is expressed as [tex]\frac{1}{2}j-\frac{2}{3}m[/tex]

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