Question

An ice cream cart vendor sells 50 popsicles on an average fall day. During the summer, the ice cream cart vendor sells 7 less than twice as many popsicles per day than he does on an average fall day. In 6 summer days, how many popsicles does the ice cream vendor sell?
A. 558
B. 523
C. 504
D. 569

Answer 1

Hint: As the number of popsicles sold on an average fall day is given as 50. So, on a summer day according to the question, it will \[\left( 2\times 50-7 \right)\Rightarrow 93\text{ popsicles}\] which is for 1 day. Now, hence, for 6 days it will be six multiplied by the number of popsicles sold in one day on the summer day by the vendor.

Complete step-by-step answer:
In the question, we are told that an ice cream cart vendor sells exactly 50 popsicles on an average fall day. Now, it is said that during summer, the ice cream vendor sells 7 less than twice as many popsicles per day than he does on average fall day. From this, we have to find the number of popsicles sold by ice cream cart vendors on six summer days.
On an average fall day, the number of popsicles sold is 50. Hence, we can find the number of sold popsicles on a summer day. As we are given that, number of popsicles sold on summer day is 7 less than twice the number of popsicles sold on average fall day, hence, we can say the number of popsicles sold is \[2\times 50-7\Rightarrow \left( 100-7 \right)\Rightarrow 93\text{ popsicles}\].
Now, we calculated that, total 93 popsicles are sold by the vendor on one summer day and we have to find them for 6 days. So, the vendor sold \[6\times 93\] popsicles for 6 days. The value of \[6\times 93\] on calculation we get 558.
Hence, there were a total 558 popsicles sold in 6 days of summer by the vendor.

Note: Here, in the question, students must be confused with the language of the question, it must be confusing for them to solve. Also, at first, try to find the number of popsicles sold by the vendor on summer day, thus, find it for 6 day multiplying it with 6.