QuestionJanet can eat how much Trail Mix (g snack/day) if FDA limits sodium to $2.40 \mathrm{~g}$ and salt has $39.33 \mathrm{~g}$ sodium/100g?

Studdy Solution

STEP 1

Assumptions1. The FDA recommends a maximum of.40g of sodium per day. . There are39.33g of sodium per100g of salt.
3. Janet's Trail Mix snack contains1.16g of salt per100g of snack.
4. We need to find the maximum amount (in grams) of the Trail Mix snack that Janet can eat per day in order to meet her allowed limit of sodium.

STEP 2

First, we need to find out how much sodium is in Janet's Trail Mix snack. We can do this by multiplying the amount of salt in the snack by the amount of sodium in salt.
$odium\, in\, snack = Salt\, in\, snack \\times Sodium\, in\, salt$

STEP 3

Now, plug in the given values for the salt in snack and sodium in salt to calculate the sodium in snack.
$odium\, in\, snack =1.16g\, salt/100g\, snack \\times39.33g\, sodium/100g\, salt$

STEP 4

implify the equation to find the sodium in snack.
$odium\, in\, snack =1.16g\, salt/100g\, snack \\times39.33g\, sodium/100g\, salt =0.456g\, sodium/100g\, snack$

STEP 5

Now that we have the amount of sodium in the snack, we can find out how much of the snack Janet can eat to meet her allowed limit of sodium. We can do this by dividing the recommended maximum sodium intake by the amount of sodium in the snack.
$Maximum\, snack\, intake = Recommended\, maximum\, sodium\, intake / Sodium\, in\, snack$

STEP 6

Plug in the values for the recommended maximum sodium intake and the sodium in snack to calculate the maximum snack intake.
$Maximum\, snack\, intake =2.40g\, sodium /0.456g\, sodium/100g\, snack$

STEP 7

implify the equation to find the maximum snack intake.
$Maximum\, snack\, intake =2.40g\, sodium /0.456g\, sodium/100g\, snack =526.32g\, snack$ Janet can eat up to526.32 grams of the Trail Mix snack per day to meet her allowed limit of sodium.

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