Eric made some bookmarks and keychains for sale. 2/5 of the items made were keychains. He sold 2/3 of the keychains and 48 bookmarks. He then had 1/3 of the items left. How many items did Eric make at first?
Source: P5
Eric made some bookmarks and keychains for sale. 2/5 of the items made were keychains. He sold 2/3 of the keychains and 48 bookmarks. He then had 1/3 of the items left. How many items did Eric make at first?
Source: P5
total items at first ——- 15 units
key chains ——- 6 units
(2/3) x 6 units = 4 units
6 units – 4 units = 2 units
bookmarks ——- 9 units
9 units – 48
2 units + 9 units – 48 = 11 units – 48 ——- (1/3) x (15 units) = 5 units
11 units – 5 units = 6 units ——- 48
1 unit ——- 48/6 = 8
15 units ——- 8 x 15 = 120
Alternatively,
key chains : bookmarks : total
2 : 3 : 5
6 units : 9 units : 15 units
(6 units – 4 units) + (9 units – 48) = 11 units – 48 ——- (1/3) x 15 units = 5 units
1 units ——- 48/(11 – 5) = 8
15 units ——- 15 x 8 = 120
Ans : 120 items.
1/3 x 2/5 = 2/15
(2/3 of the keychains +48 bookmarks) ÷ 2 x 3 = 1/1 of the keychains + 72 bookmarks
72 ÷ 3 x 5 = 120 items
Answer: 120 items