3 of my friends and I were eating chips. We each ate 2/3s of a bag. In total, how much chips did we eat?
Using a system of equations, it is found that £52 was originally shared.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: Angela's share.
- Variable y: Michelle's share.
- Variable z: Daniel's share.
Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:
.
Angela gave Daniel half her share.Michelle gave Daniel a third of her share. Daniel was given a total of £20, hence:



30t = 20 x 78
t = 20 x 78/30
t = £52.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
C. 6.736
Step-by-step explanation:
The unmarked angle is 180-80-40 = 60 degrees. Given the angles of the triangle and one side length there is enough information to use the Law of Sines to solve the triangle--eliminating choice D.
The angle opposite x is larger than the angle opposite 5, so <em>x will be larger than 5</em>. That leaves only answer choice C: 6.736.
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If you want to actually use the law of sines to determine x, you know that ...
x / sin(60°) = 5 / sin(40°)
x = 5·sin(60°)/sin(40°) . . . . . . multiply by sin(60°)
x ≈ 6.736