# math

Farah, Kate and Jane have managed their savings well. The sum of Farah and Kate's savings is \$1548. Farah and Jane's savings sum up to \$1842. The ratio of Kate to Jane's savings is 4 : 7. How much has Farah saved?

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1. !@#\$%^& = 1548
f+j = 1842
subtract those two equations:
j-k = 294
j = 294 + k

k/j = 4/7
4j = 7k
j = 7k/4

sub into j = 294+k
7k/4 = 294 + k
times 4
7k = 1176 + 4k
3k=1176
k = 392

then j = (7/4)(392) = 686
f+j = 1842
f = 1156

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posted by Reiny
2. Delvin, Eric and Felicia have 478 stickers.
Delvin has 4 times as many stickers as Eric.
Felicia has 397 stickers more than Delvin.
How many stickers does Delvin have?

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