Table salt contains 39.33 g of sodium per 100 g of salt. The U.S. Food

Julia White

Julia White

Answered question

2022-01-14

Table salt contains 39.33 g of sodium per 100 g of salt. The U.S. Food and Drug Administration (FDA) recommends that adults consume less than 2.40 g of sodium per day. A particular snack mix contains 1.23 g of salt per 100 g of the mix. What mass of the snack mix can you consume and still be within the FDA limit?

Answer & Explanation

Daniel Cormack

Daniel Cormack

Beginner2022-01-15Added 34 answers

Step 1
Given,
Table salt contains 39.33 g sodium per 100g of salt. The U.S FDA recommends that adult consume less that 2.40 g of sodium per day.
A snack mix contains 1.25 g of salt per 100 g the mix
Step 2
The mass of the snack mixture can be calculated by applying the empirical concepts. 100g salt contains 39.33 g of sodium
100g mix contains 1.25 g of salt
Therefore,
(2.40g Na) 100g39.33g×2.40g of salt
=6.102g
1.25g of salt contains 100g snack mix
6.102g of salt contains =100g1.25g×6.102g
=488.16g
Step 3
Answer:
The mass of the snack an adult can consume is 488.46g
Elaine Verrett

Elaine Verrett

Beginner2022-01-16Added 41 answers

Step 1
To further understand the problem, let us first write the given values which are:
Table salt =39.33g Na100g salt
Adults =2.40g Naday
Snack Mix =1.25g salt100g snack mix
We are required to find the mass of the snack mix that an adult can consume.
Step 2
Let us first take the amount of salt that an adult can take per day:
2.40g Naday×100g salt39.33g Na=6.1022g salt per day
An adult can take 6.1022g salt per day
Step 3
Now, we can get the amount of snack mix an adult can take. So, we have:
Amount of snack mix =6.1022g saltday×100g snack mix1.25g salt=488.176 g/day
Therefore an adult can take 488.176g/day of snack mix and not exceed the amount of sodium recommended by the FDA.

alenahelenash

alenahelenash

Expert2022-01-23Added 556 answers

First set up the equation 39.33g/100g=x/1.28g and thatll
star233

star233

Skilled2023-06-10Added 403 answers

Given that table salt contains 39.33 g of sodium per 100 g of salt, we can calculate the maximum allowable sodium intake in grams:
2.40g of sodium×100g of salt39.33g of sodium=6.10g of salt
Now, we can calculate the maximum mass of the snack mix that can be consumed within the FDA limit by using the sodium content of the mix:
1.23g of salt×100g of mix6.10g of salt=20.16g of mix
Therefore, you can consume up to 20.16 g of the snack mix and still be within the FDA limit.
karton

karton

Expert2023-06-10Added 613 answers

Step 1:
We can set up the proportion as follows:
1.23g of salt100g of mix=2.40g of sodium100g of salt
To solve for x, we can cross-multiply and solve for x:
1.23g of salt×100g of salt=2.40g of sodium×x
Simplifying:
123g=2.40g of sodium×x
Step 2:
Dividing both sides of the equation by 2.40 g of sodium:
x=123g2.40g of sodium
Calculating the value of x:
x=1232.40=51.25
Therefore, you can consume approximately 51.25 g of the snack mix and still be within the FDA limit for sodium intake.

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