380 grams of the first solution contains 64.8 grams of salt, 420 grams of the second solution contains 96.6 grams

380 grams of the first solution contains 64.8 grams of salt, 420 grams of the second solution contains 96.6 grams of salt. In which solution is the percentage of salt higher? By how many percent?

1) Find the salt concentration in the first solution using the proportion.

380 g of solution – 100%;

64.8 g of salt – x%.

380: 100 = 64.8: x;

x = 100 × 64.8: 380;

x = 17 (%) – in the first solution.

2) In the same way, we find the salt concentration in the second solution:

420 g solution – 100%;

96.6 g of salt – x%;

420: 100 = 96.6: x;

x = 100 x 96.6: 420;

x = 23 (%) – in the second solution.

23> 17.

3) Determine by how many% the concentration of salt in the second solution is greater:

23 – 17 = 6 (%).

Answer: the concentration of salt in the second solution is 6% higher than in the first.