Together, Tim and Tom have $2.40. Tim has three times as much as Tom. How much does each have?

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Answer 1 · 2017-01-06T04:08:35

Tim has $$1.80$ and Tom has $$0.60$ .

Consider the amount that Tim has as $x$ and the amount that Tom has as $y$ . From the data given:

$x+y=2.4$
$x=3y$

In the first equation, substitute $x$ with $color(red)(3y)$ (the value of $x$ in the second equation).

$x+y=2.4$

$color(red)(3y)+y=2.4$

$4y=2.4$

Divide both sides by $4$ .

$y=0.6$

In the first equation, substitute $y$ with $color(blue)(0.6)$ .

$x+y=2.4$

$x+color(blue)(0.6)=2.4$

Subtract $0.6$ from each side.

$x=1.8$