Final answer:
The lengths of the girls' ropes are: Mya's rope is 24 inches, Zoe's rope is 49 inches, and Hailey's rope is 147 inches. These lengths satisfy the condition that when laid together, the ropes measure a total of 220 inches.
Step-by-step explanation:
The question involves algebra and can be solved by setting up an equation that represents the lengths of the ropes owned by Mya, Zoe, and Hailey. Let's designate Zoe's rope length as x inches. According to the problem, Mya's rope is 25 inches shorter than Zoe's, so it can be represented as x - 25 inches. Hailey's rope, being three times longer than Zoe's, can be represented as 3x inches. When all three ropes are laid together, they measure 220 inches, which gives us the following equation to solve for x:
x + (x - 25) + 3x = 220
Solving this equation:
- Combine like terms: 5x - 25 = 220
- Add 25 to both sides: 5x = 245
- Divide both sides by 5: x = 49
Now we have Zoe's rope length, which is 49 inches. We can find Mya's and Hailey's rope lengths as follows:
- Mya's rope: 49 - 25 = 24 inches
- Hailey's rope: 3 × 49 = 147 inches
Now we have the lengths of all three girls' ropes: Mya's rope is 24 inches, Zoe's rope is 49 inches, and Hailey's rope is 147 inches. To address the other question, it is not applicable here as it seems to be an extract from a different topic that is unrelated to the rope lengths question.