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We can set up a proportion to solve this problem:
552 miles / 23 gallons = 840 miles / x gallons
To find x, we can cross multiply:
(552 miles)(x gallons) = (23 gallons)(840 miles)
Next, we divide both sides by 552 miles:
x gallons = (23 gallons)(840 miles) / 552 miles
Simplifying this expression gives us:
x gallons = 35 gallons
Therefore, Mrs. Ebert would need 35 gallons of gas for the total trip.