Spilled $40 into the ratio of 3:7

12:28

Step-by-step explanation:

40/10=4

4x3=12

4x7=28

$12/$28

Step-by-step explanation:

Let x and y represent the two amounts of money adding up to $40.

Assume that x is the smaller amount.  Then:

 x        3

=    Remembering that x + y = $40, we get x = $40 - y

 y        7

amd sp we have

 $40 - y          3

=   which, after cross-multiplication, is $280 - $7y = 3y

       y             7

Simplifying this, we get $280 = 10 y, so that y must be $28.  If y = $28, x must be $40 - $28, or $12.

                                                                             $12

Then $40, split in the ratio 3/7, is the ratio

                                                                            $28

Check:  Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.

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