Answer:
43 10 cent coins
Step-by-step explanation:
let x represent the number of 5 cent coins and y the 10 cent coins.
Since we are dealing in cents change $10 to cents, that is
$10 = 10 × 100 = 1000 cents
Now we can write 2 equations to represent the situation.
x + y = 157 → (1)
5x + 10y = 1000 → (2)
Multiplying (1) by - 5 and adding to (2) eliminates x
- 5x - 5y = - 785 → (3)
Add (2) and (3) term by term
(5x - 5x) + (10y - 5y) = (1000 - 785), that is
5y = 215 ( divide both sides by 5 )
y = 43
That is there are 43 10 cent coins
