sam is packing a coffee powder in some paper bags. When he pack 500 g of coffee powder in each bag. He has 300g left. When he packs 750g in each bag, he needs 3.45kg more coffee power. How much coffee powder sam have ?Give your answer in Kilograms
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Solution :-
Let us assume that, total paper bags are x and total coffee power sam has is y kg (1000y gm) .
so,
→ 500 * x + 300 = 1000y
→ 1000y - 500x = 300
→ 10y - 5x = 3 ------------ Eqn.(1)
also,
→ 750x - 1000y = 3.45 * 1000
→ 50(15x - 20y) = 3450
→ 15x - 20y = 69 -------- Eqn.(2)
multiply Eqn.(1) by 3 and adding the result from Eqn.(2) we get,
→ (15x - 20y) + 3(10y - 5x) = 69 - 3*3
→ 15x - 20y + 30y - 15x = 69 - 9
→ 10y = 60
→ y = 6 kg (Ans.)
Hence, the coffee powder sam have was 6 kg .
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