book Maths Puzzle Numerical Ability

Whitney invested $11,000, part at 6% and part at 1%. If the total interest at the end of the year is $510, how much did she invest at 6%?

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z+6=-5 Is there a formula that could be used to explain how you add consecutive numbers to make multiples of 100.eg.18+19=19=20=21=22=100 38+39+40+41+42=200 that would be suitable for a twelve year old to be able to solve such problems?