Which two grids can be combined to represent 140%?

Question

A grid model with 100 squares labeled A. 1 square is shaded.A grid model with 100 squares labeled B. 15 squares are shaded.A grid model with 100 squares labeled C. 40 squares are shaded.A grid model with 100 squares labeled D. 100 squares are shaded.
A and B
A and C
B and D
C and D

Answer 1

To represent 140%, we need to find two grid models that together equal 140%.

1. Grid A (100 squares, 1 square shaded):

   • This represents 1% (1 out of 100).

2. Grid B (100 squares, 15 squares shaded):

   • This represents 15% (15 out of 100).

3. Grid C (100 squares, 40 squares shaded):

   • This represents 40% (40 out of 100).

4. Grid D (100 squares, 100 squares shaded):

   • This represents 100% (100 out of 100).

Now, calculating the percentages when combining each option:

• A and B:

  • 1% + 15% = 16%

• A and C:

  • 1% + 40% = 41%

• B and D:

  • 15% + 100% = 115%

• C and D:

  • 40% + 100% = 140%

Therefore, the two grids that can be combined to represent 140% are C and D.