Rhonda uses a pan balance and metric weights to measure the masses of two large books.

She recorded the weights that she used in the table below.

Note: 1 kg = 1000 g

1-kilogram
weights 500-gram
weights 100-gram
weights 10-gram
weights
Book A 1 0 7 4
Book B 0 3 1 8

Which book has a greater mass? How many grams greater is it? Use the drop-down menus to complete the sentences below.

Choose...
the book has the greater mass. It is
Choose...
grams greater.

Question

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MrRoyal MrRoyal · Answer 1 · 2022-06-10T14:30:42+02:00

The book has the greater mass is book A and It is 60 grams greater.

The table of values is given as;

1-kilogram 500-gram 100-gram 10-gram

Book A 1 0 7 4

Book B 0 3 1 8

The weights of the books are calculated as:

Book A = 1 * 1kg + 0 * 500g + 7 * 100g +4 * 10g = 1740 g

Book B = 0 * 1kg + 3 * 500g + 1 * 100g +8 * 10g = 1680 g

1740 is greater than 1680 by 60

This means that the book has the greater mass is book A and It is 60 grams greater.