Subjects algebra

Payment Ratio D25Cae

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1. The problem asks for the ratio of the amount Mr Sharma pays to the painter, simplified to its lowest terms. 2. Given the ratio of payments: painter : plumber : electrician = 245 : 252 : 224. 3. To simplify the ratio for the painter's amount, we find the greatest common divisor (GCD) of the three numbers 245, 252, and 224. 4. Calculate GCD: - Prime factors of 245 = 5 \times 7^2 - Prime factors of 252 = 2^2 \times 3^2 \times 7 - Prime factors of 224 = 2^5 \times 7 5. The common prime factor is 7. 6. Divide each term by 7: - Painter: $\frac{245}{7} = 35$ - Plumber: $\frac{252}{7} = 36$ - Electrician: $\frac{224}{7} = 32$ 7. The simplified ratio is 35 : 36 : 32. 8. The question specifically asks for the ratio of the amount Mr Sharma pays to the painter, which is the first term, so the ratio is $35$ in lowest terms. Final answer: The ratio of the amount Mr Sharma pays to the painter is $35$ (or simply the painter's share in the simplified ratio is 35).