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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 $15:1$ . 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. $\newline$ What is the price of rice per gram? dollars per gram of rice

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Multi-step problems with unit conversions

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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

15:1

. 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.

\newline

What is the price of rice per gram? dollars per gram of rice

Calculate rice amount: Calculate the total amount of rice needed for $10$ servings. Each serving requires $75$ grams of rice, so for $10$ servings, we need: $10$ servings $\times$ $75$ grams/serving $=$ $750$ grams of rice.
Determine total cost: Determine the total cost of the rice. $\newline$ David spends $4.50$ on rice for $10$ servings.
Calculate price per gram: Calculate the price per gram of rice. $\newline$ To find the price per gram, divide the total cost by the total amount of rice: $\newline$ Price per gram = $\frac{\text{Total cost}}{\text{Total amount of rice}}$ $\newline$ Price per gram = $\frac{4.50 \text{dollars}}{750 \text{grams}}$ $\newline$ Price per gram = $0.006$ dollars per gram

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