Maria's piece is 45 inches long
Katy's piece is 39 inches long
Step-by-step explanation:
Maria and Katy each have a piece of string
We need to find how long is Maria’s piece of string and how long is Katy’s piece of string
Assume that the length of Maria's piece is x inches and the length of Katy's piece is y inches
∵ Maria's piece is x inches
∵ Katy's piece is y inches
∵ The total length of the two pieces is 84 inches
- Add x and y, then equate the sum by 84
∴ x + y = 84 ⇒ (1)
∵ Maria’s string is 6 inches longer than Katy’s
- That means equate x by the sum of y and 6
∴ x = y + 6 ⇒ (2)
Now we have a system of equations to solve it
Substitute x in equation (1) by equation (2)
∴ (y + 6) + y = 84
- Add the like terms in the left hand side
∴ 2y + 6 = 84
- Subtract 6 from both sides
∴ 2y = 78
- Divide both sides by 2
∴ y = 39
- Substitute the value of y in equation (2) to find x
∵ x = 39 + 6
∴ x = 45
Maria's piece is 45 inches long
Katy's piece is 39 inches long
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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