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Ana drinks horchata out of glasses that each hold 
(1)/(8) of a liter. She has 
(7)/(10) of a liter of horchata in her refrigerator.
How many glasses of horchata can she pour?
glasses

Ana drinks horchata out of glasses that each hold 18 \frac{1}{8} of a liter. She has 710 \frac{7}{10} of a liter of horchata in her refrigerator.\newlineHow many glasses of horchata can she pour?\newlineglasses

Full solution

Q. Ana drinks horchata out of glasses that each hold 18 \frac{1}{8} of a liter. She has 710 \frac{7}{10} of a liter of horchata in her refrigerator.\newlineHow many glasses of horchata can she pour?\newlineglasses
  1. Identify total horchata amount: Identify the total amount of horchata and the amount each glass can hold.\newlineTotal amount of horchata available: (7)/(10)(7)/(10) liter\newlineAmount of horchata each glass can hold: (1)/(8)(1)/(8) liter\newlineTo find out how many glasses Ana can pour, we need to divide the total amount of horchata by the amount each glass can hold.
  2. Calculate number of glasses: Perform the division to find the number of glasses.\newlineNumber of glasses = Total amount of horchata ÷\div Amount per glass\newlineNumber of glasses = 710\frac{7}{10} ÷\div 18\frac{1}{8}\newlineTo divide by a fraction, we multiply by its reciprocal.\newlineNumber of glasses = 710\frac{7}{10} ×\times 81\frac{8}{1}
  3. Multiply numerators and denominators: Multiply the numerators and denominators.\newlineNumber of glasses = (7×8)/(10×1)(7 \times 8) / (10 \times 1)\newlineNumber of glasses = 56/1056 / 10
  4. Simplify fraction to find whole glasses: Simplify the fraction to find the number of whole glasses.\newlineNumber of glasses = 55 with a remainder of 610\frac{6}{10} or 0.60.6, which is not enough to fill another whole glass.\newlineSo, Ana can pour 55 whole glasses of horchata.

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