Question

three sisters are saving for a special journey. the ratio of gertrudes savings to maurices savings is 7:2 and the ratio of maurices savings to helgas savings is 2:3. together all 3 sisters have saved $48. how much has each girl saved? answer questions 3–4. 3. how can you use a diagram to make sense of the problem? you can draw \LXI0 bar diagrams. gertrudes is \LXI1 squares long, maurices is \LXI2 squares long, and helgas is \LXI3 squares long. then, use the diagrams to show $\square$. (type whole numbers.)

Explanation:

Step1: Unify the ratios

First, unify the ratios using Maurice's share as the common term. The ratio of Gertrude:Maurice is $7:2$, and Maurice:Helga is $2:3$. So the combined ratio Gertrude:Maurice:Helga is $7:2:3$.

Step2: Calculate total parts

Add the parts of the ratio:
$$7 + 2 + 3 = 12$$

Step3: Find value per part

Divide total savings by total parts:
$$\frac{48}{12} = 4$$
Each part (square) represents $\$4$.

Step4: Define diagram details

We need 3 bars (one per sister) with lengths matching their ratio parts: 7, 2, 3, and each square equals $\$4$.

Answer:

You can draw 3 bar diagrams. Gertrude's is 7 squares long, Maurice's is 2 squares long, and Helga's is 3 squares long. Then, use the diagrams to show $\$4$.