We appreciate your visit to A snack bar sells scoops of strawberry chocolate and vanilla ice cream On Monday the snack bar sold 100 scoops in total of these flavors. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
600/11
Step-by-step explanation:
scoops of
strawberry= x
chocolate= y
vanilla ice cream= z
X+y+z= 100
The snack bar sold 3 times as many scoops of chocolate as it did strawberry
3x= y
X= y/3
and 2 times as many scoops of
vanilla as it did chocolate
2z= y
Z= y/2
X+y+z= 100
Y/3 + y +y/2 = 100
2y + 6y + 3y = 600
11y= 600
Y= 600/11
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Final answer:
After setting up variables for each flavor, creating equations based on the conditions, and solving them, we find that the snack bar sold 33 scoops of chocolate ice cream on Monday.
Explanation:
The student's question seeks to determine the number of scoops of chocolate ice cream sold on a particular day, given the total number of scoops sold and the relationships between the sales of different flavors.
Let's denote the number of scoops of strawberry ice cream sold as s, chocolate as c, and vanilla as v. According to the given information:
c = 3s (3 times as many chocolate as strawberry)
v = 2c (2 times as many vanilla as chocolate)
The total number of scoops sold is 100, which leads to the equation:
s + c + v = 100
Now, we can substitute c and v with their respective expressions in terms of s:
s + 3s + 2(3s) = 100
Simplifying this gives us:
9s = 100
Dividing both sides by 9 gives us:
s ≈ 11.11
Since we are dealing with scoops, we can round s down to the nearest whole number, 11. Then, we calculate c, the number of scoops of chocolate:
c = 3s = 3(11) = 33
The snack bar sold 33 scoops of chocolate ice cream on Monday.
