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23 Apr 2026, 01:15
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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100% (03:05) correct
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Crepe sales increased by 40% each year for 6 years, while hotdog sales decreased by 30% each year over the same period. In the sixth year, crepe sales were 2,000% of hotdog sales. By what percent were hotdog sales greater than crepe sales in the first year of the six-year period?
A. 60%
B. 120%
C. 160%
D. 220%
E. 320%
A. 60%
B. 120%
C. 160%
D. 220%
E. 320%
23 Apr 2026, 01:43
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Let's say initial sales by C and H
C*(1+0.4)^6 = (2000%/100)*H*(1-0.3)^6
C(1.4)^6 = 20*H*(0.7)^6
H/C = 2^6/20 = 3.2
For first year,
(H/C)*(1/2) = 1.6
60%
The main takeaway here is to not solve 1.4^6 and 0.7^6 after the first look, just observe it and simplify it further.
(A) is the answer.
C*(1+0.4)^6 = (2000%/100)*H*(1-0.3)^6
C(1.4)^6 = 20*H*(0.7)^6
H/C = 2^6/20 = 3.2
For first year,
(H/C)*(1/2) = 1.6
60%
The main takeaway here is to not solve 1.4^6 and 0.7^6 after the first look, just observe it and simplify it further.
(A) is the answer.
