Question: Polly’s mother packed party bags for her guests at her son’s birthday party. In every bag she puts 4 sweets and 3 biscuits among other things. Altogether she packed 100 sweets. How many biscuits did she pack?
1. **State the problem:** Polly’s mother packed party bags with 4 sweets and 3 biscuits each. There are 100 sweets in total. We need to find how many biscuits she packed.
2. **Define variables:** Let $n$ be the number of party bags.
3. **Write the equation for sweets:** Each bag has 4 sweets, so total sweets is $4n$. Given total sweets is 100, we have:
$$4n = 100$$
4. **Solve for $n$:**
$$n = \frac{100}{4}$$
Show cancellation:
$$n = \frac{\cancel{100}}{\cancel{4}} = 25$$
So, there are 25 bags.
5. **Calculate biscuits:** Each bag has 3 biscuits, so total biscuits is:
$$3 \times 25 = 75$$
**Final answer:** Polly’s mother packed 75 biscuits.