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David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 
15:1. He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice.
What is the price of rice per gram? dollars per gram of rice

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:1. He currently has 4040 grams of the spice blend, and he can go buy more if necessary. He wants to make 1010 servings, where each serving has 7575 grams of rice. Overall, David spends 4.504.50 dollars on rice.\newlineWhat is the price of rice per gram? dollars per gram of rice

Full solution

Q. David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:1. He currently has 4040 grams of the spice blend, and he can go buy more if necessary. He wants to make 1010 servings, where each serving has 7575 grams of rice. Overall, David spends 4.504.50 dollars on rice.\newlineWhat is the price of rice per gram? dollars per gram of rice
  1. Calculate rice amount: Calculate the total amount of rice needed for 1010 servings. Each serving requires 7575 grams of rice, so for 1010 servings, we need: 1010 servings ×\times 7575 grams/serving == 750750 grams of rice.
  2. Determine total cost: Determine the total cost of the rice.\newlineDavid spends 4.504.50 on rice for 1010 servings.
  3. Calculate price per gram: Calculate the price per gram of rice.\newlineTo find the price per gram, divide the total cost by the total amount of rice:\newlinePrice per gram = Total costTotal amount of rice\frac{\text{Total cost}}{\text{Total amount of rice}}\newlinePrice per gram = 4.50dollars750grams\frac{4.50 \text{dollars}}{750 \text{grams}}\newlinePrice per gram = 0.0060.006 dollars per gram

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