Container J and Container K were filled completely with bread flour. The total mass of
18 of the bread flour in Container K and
113 of the bread flour in Container J was 410 g. If
213 of the bread flour in Container J was poured out, the total mass of the bread flour in both containers became 3.61 kg. How much bread flour was in
- Container J in grams?
- Container K in grams?
(a)
Let the mass of the bread flour in Container K be K.
Let the mass of the bread flour in Container J be J.
18 K +
113 J = 410 --- (1)
Fraction of the bread flour left in Container J after
213 of it was poured out
= 1 -
213 =
1113 1 kg = 1000 g
3.61 kg = 3610 g
1 K +
1113 J = 3610
1 K = 3610 -
1113 J --- (2)
Make K the same.
(1)
x8 88 K +
813 J = 3280
1 K +
813 J = 3280
1 K = 3280 -
813 J --- (3)
(3) = (2)
3280 -
813 J = 3610 -
1113 X
1113 J -
813 J = 3610 - 3280
313 J = 330
113 J = 330 ÷ 3 = 110
1313 J = 13 x 110 = 1430
1 J = 1430
Mass of Container J = 1430 g
(b)
From (1)
18 K + 110 = 410
18 K = 410 - 110 = 300
88 K = 8 x 300 = 2400
1 K = 2400
Mass of Container K = 2400 g
Answer(s): (a) 1430 g; (b) 2400 g