Thank you for visiting Joe ordered 2 cups of coffee and 3 scones for 9 80 Jenny bought 3 cups of coffee and 1 scone for 6 30 What. 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 :
The price of a scone is $1.87 and the price per coffee is $2.10
What is simultaneous equation?
These are equations that are solved together because their variables are interrelated.
Let C stands for coffee and S for scones
Joe's equation based on the total amount spent is as below:
2C+3S=9.80
For Jenny, the equation based on $6.30 spent is as below:
3C+S=6.30
From the second equation, the value of S is as shown thus:
S=6.30-3C
Substitute for S in the first equation
3C+3*(6.30-3C)=6.30
3C+18.90-9C=6.30
18.90-6C=6.30
18.90-6.30=6C
12.60=6C
C=12.60/6
C=price of a cup of coffee=$2.10
2(2.10)+3S=9.80
4.20+3S=9.80
3S=9.80-4.20
3S=5.60
S=5.60/3
S=$1.87(price per scone)
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