a remote village on an island was devastated by a typhoon. farmland was flooded and the crops were killed by excess salt from the ocean. to prevent starvation, aid workers delivered containers of dried foods such as rice, beans, and raisins to the island. each container holds 82 kilograms (kg) of food: 36 kg of rice, 28 kg of beans, and 18 kg of raisins. calorie counts for 100 grams (g) of dried foods are shown.
| food | raisins | beans | rice |
|--|--|--|--|
| amount (g) | 100 | 100 | 100 |
| calories | 300 | 352 | 356 |
a 2,000 - calorie daily diet needs to include a portion of each of the three foods being delivered to the village. it is important to provide three varieties: the heartiest (highest calories) food representing 30%, and the least hearty representing 20%, and the remaining representing 50%. fill in the chart with the daily percentage and equivalent amount of each food to include in a daily diet. round the number of grams to the nearest whole number. enter the answers.
| food | raisins | beans | rice |
|--|--|--|--|
| percentage (%) | | | |
| equivalent number of grams | | | |

Question

a remote village on an island was devastated by a typhoon. farmland was flooded and the crops were killed by excess salt from the ocean. to prevent starvation, aid workers delivered containers of dried foods such as rice, beans, and raisins to the island. each container holds 82 kilograms (kg) of food: 36 kg of rice, 28 kg of beans, and 18 kg of raisins. calorie counts for 100 grams (g) of dried foods are shown.
| food | raisins | beans | rice |
|--|--|--|--|
| amount (g) | 100 | 100 | 100 |
| calories | 300 | 352 | 356 |
a 2,000 - calorie daily diet needs to include a portion of each of the three foods being delivered to the village. it is important to provide three varieties: the heartiest (highest calories) food representing 30%, and the least hearty representing 20%, and the remaining representing 50%. fill in the chart with the daily percentage and equivalent amount of each food to include in a daily diet. round the number of grams to the nearest whole number. enter the answers.
| food | raisins | beans | rice |
|--|--|--|--|
| percentage (%) |  |  |  |
| equivalent number of grams |  |  |  |

Accepted Answer

# Explanation:
## Step1: Calculate the percentage of each food in the diet
For raisins: $\frac{300}{300 + 352+356}	imes100=\frac{300}{1008}	imes100\approx 29.86\% \approx 30\%$
For beans: $\frac{352}{300 + 352+356}	imes100=\frac{352}{1008}	imes100\approx 34.92\% \approx 35\%$
For rice: $\frac{356}{300 + 352+356}	imes100=\frac{356}{1008}	imes100\approx 35.32\% \approx 35\%$

## Step2: Calculate the equivalent number of grams for a 2000 - calorie diet
Let $x$ be the amount of food for raisins in a 2000 - calorie diet. Since 100g of raisins has 300 calories, then $\frac{x}{2000}=\frac{100}{300}$, $x=\frac{2000	imes100}{300}\approx 667$g
Let $y$ be the amount of food for beans in a 2000 - calorie diet. Since 100g of beans has 352 calories, then $\frac{y}{2000}=\frac{100}{352}$, $y = \frac{2000	imes100}{352}\approx 568$g
Let $z$ be the amount of food for rice in a 2000 - calorie diet. Since 100g of rice has 356 calories, then $\frac{z}{2000}=\frac{100}{356}$, $z=\frac{2000	imes100}{356}\approx 562$g

# Answer:
| Food | Percentage (%) | Equivalent Number of Grams |
|--|--|--|
| Raisins | 30 | 667 |
| Beans | 35 | 568 |
| Rice | 35 | 562 |

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Calculate the percentage of each food in the diet

Step2: Calculate the equivalent number of grams for a 2000 - calorie diet

Answer: