Today’s SAT question of the day is a math question that’s an excellent example for any test taker to review. One brother earns 10 dollars for each lawn he mows, while the other brother gets 3 of those dollars for each lawn with which he helps.
In other words, one brother (d) earns 10 dollar per yard, while the other (t) earns 3 dollars per yard.
Whenever you can find a per statement, you know you can make a ratio…and with two related ratios, we can make a proportion.
The first brother can be represented by d/10, 10 dollars per d yards. The second, t/3, 3 dollars per t yards. Since we’re ultimately trying to relate these to each other and find d in terms of t (since all the answer choices begin with “d =”), let’s add an equal sign to make our proportion.
d/10 = t/3
Now, we can cross-multiply:
3d = 10t
And divide both sides by 3 to get d alone:
d = 10t/3