Answer: she spent three 1 dollar bills and and four 10 dollar bill.
Step-by-step explanation:
Let x represent the number of 1 dollar bills that she used.
Let y represent the number of 10 dollar bill that she used.
She used seven bills to buy a pair of shoes. This means that
x + y = 7
The amount that she spent on the pair of shoes is $43. This means that
x + 10y = 43 - - - - - - - - - - 1
Substituting x = 7 - y into equation 1, it becomes
7 - y + 10y = 43
- y + 10y = 43 - 7
9y = 36
y = 36/9 = 4
x = 7 - y = 7 - 4
x = 3