New Zealand
Level 6 - NCEA Level 1

# Using Equations - Blood Alcohol Content

## Interactive practice questions

To calculate the number of standard drinks we use the formula $N=0.789\times V\times A$N=0.789×V×A; where

$V$V is the volume of the drink in litres (L); and

$A$A is the percentage of alcohol (% alc/vol) in the drink.

Calculate the number of standard drinks in a $375$375 mL bottle of mid strength beer that has an alcohol content of $3.5%$3.5% alc/vol to the nearest one decimal place.

Easy
Approx 2 minutes

To calculate the number of standard drinks we use the formula $N=0.789\times V\times A$N=0.789×V×A; where

$V$V is the volume of the drink in litres (L); and

$A$A is the percentage of alcohol (% alc/vol) in the drink.

To calculate the number of standard drinks we use the formula $N=0.789\times V\times A$N=0.789×V×A; where

$V$V is the volume of the drink in litres (L); and

$A$A is the percentage of alcohol (% alc/vol) in the drink.

To calculate the blood alcohol content ($BAC$BAC) of a person we use the formula $BAC_{male}=\frac{10N-7.5H}{6.8M}$BACmale=10N7.5H6.8M for males and $BAC_{female}=\frac{10N-7.5H}{5.5M}$BACfemale=10N7.5H5.5M for females, where $N$N is the number of standard drinks consumed, $H$H is the number of hours of drinking, and $M$M is the person's mass in kilograms.

### Outcomes

#### U5223

Use formulae and equations to solve problems in the workplace