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a worker must paint 120 square meters the first day he painted 3 5 of the total the second day he painted 2 3 of what was

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A worker must paint 120 square meters, the first day he painted 3/5 of the total, the second day he painted 2/3 of what was missing. Determine the total number of meters left to paint.

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Answer to a math question A worker must paint 120 square meters, the first day he painted 3/5 of the total, the second day he painted 2/3 of what was missing. Determine the total number of meters left to paint.

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Primero, el trabajador pinta \( \frac{3}{5} \) del área total el primer día. Entonces, el área pintada el primer día es: \[ \text{Área pintada el primer día} = \frac{3}{5} \times 120 = 72 \, \text{metros cuadrados} \] Después del primer día, la zona restante a pintar es: \[ \text{Área restante después del primer día} = 120 - 72 = 48 \, \text{metros cuadrados} \] El segundo día, el trabajador pinta \( \frac{2}{3} \) de lo que queda por pintar. Entonces, el área pintada el segundo día es: \[ \text{Área pintada el segundo día} = \frac{2}{3} \times 48 = 32 \, \text{metros cuadrados} \] Por lo tanto, después del segundo día, el área total que queda por pintar es: \[ \text{Área total que queda por pintar} = 48 - 32 = 16 \, \text{metros cuadrados} \] Entonces, el número total de metros cuadrados que quedan por pintar es 16 metros cuadrados.

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