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
- When they put the two pieces of string together end to end, the total length is 84 inches
- Maria’s string is 6 inches longer than Katy’s
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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