Since many people have trouble with word problems, let's try a few here.
A total of 12,000 is invested in two funds paying 9% and
11% simple interest. If the yearly interest is $1,180, how much of the $12,000
is invested at 9% and how much is invested at 11%?
say x dollars are invested at 9% . That means 12,000 - x dollars are invested
at 11%. The interest at 9% is x(.09) and the interest at 11% is (12,000 -
x)(.11). Add these and
set equal to the total amount of interest of 1,180 = .09x + 1320 - 0.11x. 140 =
.02x. x= 7000. So 7000 is invested at 9% and 5000 is invested at
How many pounds of M&Ms that cost $7.50 per pound
must be mixed with 24 pounds of Reese's Pieces that cost $3.00 per pound to make
a mixture that sells for $6.75 per pound?
7.50 per pound times x pounds = total cost of 7.50x. The 24 pounds of Reese's
Pieces cost a total of 72 dollars. The total mixtures of 6.75 per pound will be
24 + x pounds.
So we solve this by takings 7.50x + 72 = 6.75(24 + x). 7.50x + 72 = 162 + 6.75x.
7.50x = 90 + 6.75x. 0.75x = 90, x = 120. You will need 120 pounds of