Answer:
Kareem could NOT have 4 dimes and 7 quarters
Step-by-step explanation:
Inequalities
Kareem's collection of coins includes dimes and quarters. He has more quarters than dimes and he has at most $2. Recall each dime is worth $0.10 and each quarter is worth $0.25.
If d is the number of dimes and q is the number of quarters, both conditions can be written as:
q > d
0.10d + 0.25q ≤ 2
We're required to find out if Kareem could have d=4 and q=7. Substituting in both inequalities:
7 > 4 (true)
0.10*4 + 0.25*7 ≤ 2
0.4 + 1.75 ≤ 2
2.15 ≤ 2 (false)
It's noted the first inequality is satisfied, but not the second, thus
Kareem could NOT have 4 dimes and 7 quarters
