Solution:
We are given in the question stem that Midday snacks consist of 200 grams of pistachios, 150 grams of popcorn, and 100 grams of almonds. And, the maximum fiber percentages in pistachios, popcorn, and almonds are 27%, 20%, and 10%. To maintain the 90-gram fiber goal from the snack, we can calculate the maximum percentage given in the question stem.
1. Pistachios -200*\(\frac{27}{100}\)=54
2. Popcorn - 150*\(\frac{20}{100}\)= 37
3. Almonds- 100*\(\frac{10}{100}\)=10
And the total of all comes down to 94. So, it covers our minimum requirement 90-gram fiber goal.
Same way, we have to search among the options, which choice meets the minimum requirement of a 90-gram fiber goal from the lowest possible fiber percentage that pistachios can have and the lowest possible fiber percentage that almonds can have while still meeting the 90-gram fiber goal. The only choice that fits our answer choice is 27% of Pistachios and 25% of almonds. Here we can see the same:
Pistachios- 200*\(\frac{27}{100}\)=54
Almonds - 150*\(\frac{25}{100}\)=37.7
And the total of both is 91. So, 27% for Pistachios and 25% for Almonds.
Bunuel
Arman is tracking his fiber intake for the day. His midday snack consists of 200 grams of pistachios, 150 grams of popcorn, and 100 grams of almonds. To meet his nutritional goal, he must consume at least 90 grams of fiber from the snack. The maximum fiber percentages in pistachios, popcorn, and almonds are 27%, 20%, and 10%, respectively.
Select for
Pistachios the lowest possible fiber percentage that pistachios can have while still meeting the 90-gram fiber goal, and select for
Almonds the lowest possible fiber percentage that almonds can have while still meeting the 90-gram fiber goal. Make only two selections, one in each column.