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Hi,
question calls for expressing the amounts each earned in terms of a variable
"A boy earned $10 more than twice as much as his sister...
Let x and (2x+$10) represent the amount the girl and boy made respectively
Question states*** Together they earned $70.
x + (2x+$10) = $70
Solving for x
3x = $60
x = $20, the amount the girl earned. the boy earned $50 (2*$20+$10)
CHECKING our Answer***
$20 + $50 = $70