Math Problem Statement

if 120g of flour makes 36 biscuits. How many biscuits could be made with 80g of flour

Solution

We can solve this problem using a proportion, as the number of biscuits is directly proportional to the amount of flour used.

Given:

  • 120g of flour makes 36 biscuits.
  • We need to find how many biscuits can be made with 80g of flour.

Let xx be the number of biscuits made with 80g of flour. The proportion is:

120g36biscuits=80gxbiscuits\frac{120g}{36 \, \text{biscuits}} = \frac{80g}{x \, \text{biscuits}}

Now, cross-multiply and solve for xx:

120g×x=36×80g120g \times x = 36 \times 80g

120x=2880120x = 2880

x=2880120x = \frac{2880}{120}

x=24x = 24

Thus, 80g of flour can make 24 biscuits.

Would you like further details or clarifications on this?

Here are 5 related questions to explore:

  1. How many grams of flour are needed to make 50 biscuits?
  2. If you have 150g of flour, how many biscuits can you make?
  3. What amount of flour is required to make just 1 biscuit?
  4. If 240g of flour is used, how many biscuits can be made?
  5. How would the ratio change if 36 biscuits required more than 120g of flour?

Tip: When dealing with proportional problems, always set up a clear ratio and cross-multiply to find the unknown value.

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Math Problem Analysis

Mathematical Concepts

Proportions
Ratios

Formulas

Cross-multiplication of ratios

Theorems

Direct Proportionality Theorem

Suitable Grade Level

Grades 6-8