Answer:
a) 18 button a buttons are required to fill the bag.
b) 12 button b buttons are required to fill the bag.
c) There are 11 buttons of each type in the box containing 220 g of buttons.
Explanation:
Complete Question
Two button types, button a weighing 8 grams and button b weighing 12 grams. The buttons are sold in bags. Each bag contains 144 grams of buttons.
a) How many of button a are needed to fill one bag?
b) How many of button b are needed to fill one bag?
c) A box of buttons contains the same number of each type of button it contains 220g of buttons. How many of each type of button are in the box.
Solution
a) A bag contains 144 grams of buttons.
Button a weighs 8 grams per button.
Total number of button a buttons required to fill up the bag = (144/8) = 18 button a buttons.
b) A bag contains 144 grams of buttons.
Button b weighs 12 grams per button.
Total number of button b buttons required to fill up the bag = (144/12) = 12 button a buttons.
c) A box of buttons weighing 220 g contains the same number of each type of button.
Let this number be n.
This means the Total weight of button a buttons in this box = 8n
total weight of button b buttons in this box = 12n
Sum total of the weight of the buttons = 8n + 12n = 20n
20n = 220
n = (220/20) = 11.
This means there are 11 buttons of each type in the box containing 220 g of buttons.
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