Question

Molly has 9 cups of flour. If this is 3/4 of the number she needs to make bread, how many cups does she need?

a. Construct the tape diagram by reading it backward. Draw a tape diagram and label the unknown.
b. Next, shade in 3/4.
c. Label the shaded region to show that 9 is equal to 3/4 of the total.
d. Analyze the model to determine the quotient.

Answer 1

a. In constructing the tape diagram,

Take a grid that shows the total number of cups of flour required to make bread,

b. Shade 3/4th of the total grid,

c. According to the question,

`(3)/(4)` part of the grid = 9

Mention it on the model,

d. By cross multiplication,

`\implies 1 \text{ part } = 9* (4)/(3)=3* 4=12`

Hence, the whole part of the grid would be 12.

That is, 12 cups are needed to make the bread.