Answer:
10.5 ≤ y ≤ 14
Step-by-step explanation:
A nickel is worth 5 pennies. Changing over to dollars, it becomes
5/100 = $0.05
A dime is worth dime. Changing over to dollars, it becomes
10/100 = $0.1
Allow x to address the number if nickels.
Allow y to address the quantity of dimes.
He has close to 19 coins. This implies that
x + y ≤ 19
He has no under $1.30 joined. This implies that
0.05x + 0.1y ≥ 1.3
On the off chance that Nolan has 5 nickels, subbing x = 5 into x + y ≤ 19, it becomes
5 + y ≤ 19
y ≤ 19 - 5
y ≤ 14
subbing x = 5 into 0.05x + 0.1y ≥ 1.3, it becomes
0.05 × 5 + 0.1y ≥ 1.3
0.25 + 0.1y ≥ 1.3
0.1y ≥ 1.3 - 0.25
0.1y ≥ 1.05
y ≥ 1.05/0.1
y ≥ 10.5
Along these lines, all potential qualities for the quantity of dimes that he could have would be
10.5 ≤ y ≤ 14
