Question

Alannah is a student who is not old enough to work, but would like to make some money. She

decides to make her own hand sanitizer to sell to her family and neighbors. She makes 2
different size bottles: large and small. The small bottle sells for $5.00 and the large sells for
$12.00. On her first day, she sold all 45 of the hand sanitizer bottles she had made and
collected $435. how many small bottles of hand sanitizer did Alannah sell? how many large bottles of hand sanitizer did Alannah sell?​

Answer 1

15 small bottles

30 large bottles

Explanation:

Let the number of small bottle sold=s

Let the number of large bottle sold=l

She sold all 45 of the hand sanitizer bottles, therefore:

• s+l=45

The small bottle sells for $5.00

The large sells for $12.00

She collected a total of $435

• 5s+12l=435

We solve the two equations simultaneously to obtain s and l.

From the first equation, s=45-l

Substitute s=45-l into 5s+12l=435

5(45-l)+12l=435

225-5l+12l=435

7l=435-225

7l=210

Divide both sides by 7

l=30

Recall: s=45-l

Therefore, s=45-30=15

Allanah sold 15 small bottles and 30 large bottles of hand sanitizer.