Mohammed has a box of coins containing only dimes
and half-dollars. there are 26 coins, and the total
value is $8.60. how many of each denomination of
coin does he have?

Mohammed has 11 dimes and 15 half-dollars.

Step-by-step explanation:

Let x be the number of dimes and y be the number of half-dollars. There are 26 coins, then

Amount in dimes = 10x cents

Amount in half-dollars = 50y cents

Total amount = 10x + 50y cents

Thus,

Solve the system of two equations:

From the first equation

Substitute it into the second equation:

Mohammed has 11 dimes and 15 half-dollars.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints