Imagine that a 10 × 10 grid has value 300 and that this value is divided evenly among the small squares. In other words, each small square is worth 3. Use a new grid for each part of this problem, and label each grid “Value : 300.”

Question

Imagine that a 10 × 10 grid has value 300 and that this value is divided evenly among the small squares. In other words, each small square is worth 3. Use a new grid for each part of this problem, and label each grid “Value : 300.”

A. Shade 25% of the grid. What is 25% of 300? Compare the two answers.

B. What is the value of 25 squares?

C. Shade 17% of the grid. What is 17% of 300? Compare the two answers.

D. What is the value of of the grid?

Philoid · Accepted Answer

A.

As, Grid contain 100 squares, shade 25 squares in order to shade the 25% of the grid.

Also, value of 1 square = 3

Value of 25 squares = 25 × 3 = 75

and 25% of 300

∴ Both quantities are equal.

B. Value of 1 square = 3

Value of 25 squares = 25 × 3 = 75

C.

As, Grid contain 100 squares, Shade 17 squares in order to shade the 17% of the grid.

Also, value of 1 square = 3

Value of 17 squares = 17 × 3 = 51

and 17% of 300

∴ Both quantities are equal.

D. Value of 1 grid = 300

∴ Value of grid

= 30