Joseph's income is 40% less than Helen's income, Barbara's income is 20% less than Joseph's income, and Nancy's income is 40% less than Joseph's income. Helen gave 50% of her income to Barbara and 50% of her income to Nancy, Barbara's new income would be what fraction of Nancy's new income?

Question

Mathematics

Camilla Harvey

27 February, 08:07

Joseph's income is 40% less than Helen's income, Barbara's income is 20% less than Joseph's income, and Nancy's income is 40% less than Joseph's income. Helen gave 50% of her income to Barbara and 50% of her income to Nancy, Barbara's new income would be what fraction of Nancy's new income?

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Answers (1)

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Rory Morse · Answer 1

53/41

Step-by-step explanation:

Initially:

j = 0.6h

b = 0.8j

n = 0.6j

After Helen gives her income away:

b = 0.8j + 0.5h

n = 0.6j + 0.5h

b = 0.8 (0.6h) + 0.5h

n = 0.6 (0.6h) + 0.5h

b = 0.48h + 0.5h

n = 0.36h + 0.5h

b = 0.53h

n = 0.41h

b/n = 0.53/0.41

b = 53/41 n