Anisa helped her mother buy some fruits to treat guests at her birthday party. A packet of guavas has a mass of 1.1 kg. A packet of apples has a mass of 1.9 kg. She bought 10 more packets of guavas than apples. The total mass of both fruits bought is 41 kg. How many packets of guavas did she buy?
Question
Anisa helped her mother buy some fruits to treat guests at her birthday party. A packet of guavas has a mass of 1.1 kg. A packet of apples has a mass of 1.9 kg. She bought 10 more packets of guavas than apples. The total mass of both fruits bought is 41 kg. How many packets of guavas did she buy?
Solution
Let's denote the number of packets of apples as A and the number of packets of guavas as G.
From the problem, we know that:
- G = A + 10 (since Anisa bought 10 more packets of guavas than apples)
- 1.1G + 1.9A = 41 (since the total mass of both fruits bought is 41 kg)
We can substitute the first equation into the second to get:
1.1(A + 10) + 1.9A = 41 1.1A + 11 + 1.9A = 41 3A + 11 = 41 3A = 30 A = 10
Substituting A = 10 into the first equation gives:
G = 10 + 10 = 20
So, Anisa bought 20 packets of guavas.
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