Wire 84 m long was divided into two coils. The length of 0.4 wire from the first coil is equal to the length of 0.3

| January 6, 2021 | education

Wire 84 m long was divided into two coils. The length of 0.4 wire from the first coil is equal to the length of 0.3 wire of the second coil. How many meters of wire were there in each coil?

We denote by variable x the length of the wire in the first coil.
Therefore, according to the condition of the problem, we can express the length of the wire in the second coil through (84 – x).
Knowing that 0.4 part of the first coil is equal to 0.3 part of the second coil, we will compose an equation and determine the length of the wire in the first and second skeins:
0.4x = 0.3 * (84 – x);
0.4x = 25.2 – 0.3x;
0.7x = 25.2;
x = 36;
84 – 36 = 48.
Answer: The length of the wire in the first reel is 36 meters, and the length of the wire in the second reel is 48 meters.



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