Answer:
There are no possible solutions
Step-by-step explanation:
Given:
Minimum number of coins Alexa has =28 coins
Number of quarters Alexa has = 17 quarters
Total amount in coins = $5.05 = 505 cents
Let number of dimes be = coins
So we can have two inequalities.
1) Total number of coins
[Since minimum number of coins=28]
2) Total value of coins
[As 1 dime=10 cents and 1 quarter=25 cents]
Solving inequality (1)
Subtracting both sides by 17.
∴
Solving inequality (2)
Subtracting both sides by 425.
Dividing both sides by 10.
∴
On combining both solutions
and
,
we see that there are no possible solutions as number of dimes cannot be ≥11 and ≤8 at the same time.