Sarah and Henry share some sweets in the ratio 7:6.
Sarah eats 20 of her sweets and the ratio of sweets left becomes 1:2.
How many sweets did Henry have?
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The ratio is 7:6, but because we do not know how many sweets each one had we will constitute it as - 7x and 6x
(7x-20) is how many sweets Sarah has now
6x is how many sweets Henry has now
The ratio is now 1:2
(7x-20)/6x=1/2
Cross multiply
2(7x-20)=1*6x
14x-40=6x
14x-6x=40
8x=40
x=40/8=5
5*6=30
Therefore, Henry had 30 sweets.
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