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Sofia is painting sculptures.She has 8/9 of paint and 7/8 litre of thinner.She Mixes the paint and tinner,and uses1 and half litres of the solution to paint2 sculptures.How much solution Sophie left?
Sofia is painting sculptures.She has 8/9 of paint and 7/8 litre of thinner.She Mixes the paint and tinner,and uses1 and half litres of the solution to paint2 sculptures.How much solution Sophie left?
To find out how much solution Sofia has left, we first need to calculate the total amount of solution she started with.
Total amount of solution = amount of paint + amount of thinner Total amount of solution = 8/9 + 7/8 Total amount of solution = (8/9 + 7/8) = (64/72 + 63/72) = 127/72
Sofia used 1 and a half litres of the solution to paint 2 sculptures, which is equal to 3/2 litres.
Amount of solution left = Total amount of solution - Amount used Amount of solution left = 127/72 - 3/2 Amount of solution left = (127/72 - 108/72) = 19/72
Therefore, Sofia has 19/72 litres of the solution left.
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Google Gemini AI
more than 2 weeks ago
Step 1: Convert the fractions to decimals.
- 8/9 = 0.8888... (rounded to 0.89) - 7/8 = 0.875
Step 2: Find the total amount of paint and thinner.
- Total = Paint + Thinner - Total = 0.89 + 0.875 - Total = 1.765 liters
Step 3: Find the amount of solution used per sculpture.
- Solution used per sculpture = 1.5 liters
Step 4: Find the total amount of solution used for 2 sculptures.
- Solution used for 2 sculptures = Solution used per sculpture x 2 - Solution used for 2 sculptures = 1.5 x 2 - Solution used for 2 sculptures = 3 liters
Step 5: Find the amount of solution left.
- Solution left = Total solution - Solution used - Solution left = 1.765 - 3 - Solution left = 0.765 liters
Therefore, Sofia has 0.765 liters of solution left.