Question

The models show the amount of an apple that Jack ate and the amount of a cantaloupe that Sam ate.AppleCantaloupeJack ate 0.1 of an apple. Sam ate 0.1 of a cantaloupe.Which sentence is true?A Jack ate more fruit than Sam did.B. Each boy ate 0.1 of a fruit, so they ate the same amount of fruit.O c. Jack's model has a larger part of the model shaded, so he ate more fruit.D. The size of the fruit is different, so 0.1 of an apple is a different amount than 0.1 of a cantaloupe.

Answer 1

The square that models the apple is divided in 10 parts, out of those 10 parts 1 is colored red, this means that if the apple was divided in then parts, Jack ate 1/10 of it. You can express 1/10 as a decimal number 1/10=0.1

The square that models the cantaloupe is also divided in 10 parts, of which 1 is colored yellow. This represents that Sam ate 1 out of 10 parts of the cantaloupe, you can express it as a fraction 1/10 or as a decimal number 0.1.

Thinking logically:

The cantaloupe is bigger than an apple, so the 1/10 piece of cantaloupe that Sam ate must be bigger than the 1/10 piece of apple Jack ate.

Sam ate more than Jack, so A. is incorrect.

Both boys ate a tenth of each fruit but this fraction represents different pieces depending the fruit, as stated before 1/10 of an apple is smaller than 1/10 of a cantaloupe, so sentence B. is incorrect.

The size of the model doen't represent the size of the fruit, both could be equal and still the cantaloupe would be bigger than the apple, C. is incorrect

D. is the only sentence correct