Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Yoshi is building bookshelves to sell at a furniture store. First, he built 10 small bookshelves and 4 large bookshelves, using a total of 572 nails. Later, he built 10 small bookshelves and 9 large bookshelves, using a total of 837 nails. How many nails does Yoshi use to build each type of the shelves? Yoshi uses ___ nails to make each small bookshelf and ___ nails to make each large one.
+532 so you have the equations 10s + 4l = 572 (1)
and 10s + 9l = 837 (2)
(2) - (1) makes 5l = 265 so l = 53.
now you calculate s from this, so s is 572 - (4 * 53) over 10.
4 * 53 is 212 and 572-212 is 360 and 360 / 10 is 36.
so s = 36 and l = 53.
so the answer is
Yoshi uses 36 nails to make each small bookshelf and 53 nails to make each large one.
