Math CentralQuandaries & Queries


Question from Lisa, a parent:

Three brothers spent different amounts of money on their recent vacation.
Matt spent $25 less than Todd.
Jeff spent 3 times as much as Matt.
How much did each brother spend if they spent a total of $275?

Check answer required
T= Todd

Hi Lisa,

Rather than say "T=25" I think you should say

Let $T$ be the number of dollars that Todd spent.

Matt spent 25 dollars less than Todd.

In terms of $T$, how many dollars did Matt spend?

Jeff spent 3 times as much as Matt.

In terms of 275 $T$, how many dollars did Jeff spend?

The sum of these three quantities is 275 dollars.

Solve for $T.$

Write back if you need more assistance,

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