The annual sales of Crimson Drug Store are expected to be given by million dollars t yr from now, whereas the annual sales of Cambridge Drug Store are expected to be given by million dollars t yr from now. When will Cambridge's annual sales first surpass Crimson's annual sales?
A) 8.7 yr
B) 4.8 yr
C) 3.5 yr
D) 7.4 yr
E) 6.1 yr

Question

The annual sales of Crimson Drug Store are expected to be given by  million dollars t yr from now, whereas the annual sales of Cambridge Drug Store are expected to be given by  million dollars t yr from now. When will Cambridge's annual sales first surpass Crimson's annual sales?
A) 8.7 yr 
B) 4.8 yr 
C) 3.5 yr 
D) 7.4 yr 
E) 6.1 yr

Quizplus · Accepted Answer

Let x be the number of years it takes for Cambridge's sales to exceed Crimson's sales. Then we can set up the following equation:
11.6 + 0.07x > 11.1 + 0.04x
Simplifying this equation, we get:
0.03x > 0.5
x > 16.67
Since we are looking for the number of years it takes for Cambridge's sales to first exceed Crimson's sales, we round up to the nearest whole number and get:
x = 17
Therefore, it will take Cambridge 17 years to first surpass Crimson's annual sales.

The Annual Sales of Crimson Drug Store Are Expected to Be