Thank you for visiting On Monday Luis picked up five scones and two large coffees for the office staff He paid 16 51 On Tuesday Rachel picked up four. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
By setting up and solving a system of equations based on the provided purchases, it was determined that the cost of one scone is $2.53, and the cost of one large coffee is $1.93. These prices do not match the options given, suggesting an error in the question or the answer choices. So the correct option is:- A. Scone: 2.30, Coffee: 2.00
Explanation:
To determine the cost of one scone and the cost of one large coffee, we need to set up a system of equations based on the information provided.
Luis's purchase on Monday can be represented as:
5s + 2c = 16.51 ---(1)
Rachel's purchase on Tuesday can be represented as:
4s + 3c = 15.91 ---(2)
Where 's' is the cost of one scone and 'c' is the cost of one large coffee.
To solve this system of equations, we can multiply equation (1) by 3 and equation (2) by 2 to eliminate the variable 'c' (the coffees).
15s + 6c = 49.53 ---(3)
8s + 6c = 31.82 ---(4)
Subtract equation (4) from equation (3):
7s = 17.71
Divide by 7 to find the cost of one scone:
s = 17.71 / 7
s = 2.53
Substitute the value of 's' back into equation (1) to find 'c':
5(2.53) + 2c = 16.51
12.65 + 2c = 16.51
2c = 16.51 - 12.65
2c = 3.86
c = 3.86 / 2
c = 1.93
Thus, the cost of one scone is $2.53, and the cost of one large coffee is $1.93. This does not match any of the provided options A through D, so there might be a mistake either in the question or the options given.
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Rewritten by : Jeany
