Answer:
533 iced mochas were sold more than the hot mochas.
Step-by-step explanation:
We are given the following information in the question:
Let x be the number of hot mochas sold and y be the number of iced mochas sold.
Total number of mochas sold in a week = 200
Thus, this can be represented in the form of equation as:
[tex]x+y = 200[/tex]
The shop sold 5 times as many ice mochas in one week as hot mochas.
Thus, we can write this in the form of equation as:
[tex]y = 5x[/tex]
Solving the two equation:
[tex]x + 5x = 200\\6x = 200\\\\x = \displaystyle\frac{200}{6}[/tex]
[tex]y = \displaystyle\frac{1000}{6}[/tex]
Now, number of hot mochas sold in 4 week =
[tex]\text{Number of hot mochas sold in 1 week}\times 4 =\\\\ \displaystyle\frac{200}{6}\times 4 = \frac{800}{6}[/tex]
Number of iced mochas sold in 4 weeks =
[tex]\text{Number of iced mochas sold in 1 week}\times 4 =\\\\ \displaystyle\frac{1000}{6}\times 4 = \frac{4000}{6}[/tex]
Number of iced mochas sold more than hot mochas in 4 weeks =
[tex]\text{Number of iced mochas sold in 4 weeks} - \text{Number of hot mochas sold in 4 weeks}\\\\= \displaystyle\frac{4000}{6}- \frac{800}{6} = \frac{3200}{6} = 533.33 \approx 533[/tex]
Hence, 533 iced mochas were sold more than the hot mochas.
