Grade 7

Two numbers, two clues

Each puzzle gives two facts about hidden numbers and asks one back. The trick is the same every time: turn the clues into shares, solve the picture, then undo the twist.

Equations
Word problems

1
Six tenths, eight tenths
Two numbers add up to $136.5$ . Six tenths of the first number is the same as eight tenths of the second number. What is the first number?
2
After the gifts
Two numbers add up to $218$ . If you add $5$ to the smaller number and $9$ to the larger number, the smaller becomes three fifths of the larger. What was the larger number?
3
The book fund
Three classes share a box of books. Class A gets one third of all the books plus $5$ extra, class B gets one fourth of all the books plus $27$ extra, and class C takes the last $118$ books. How many books does class A get?