SOLUTION: 1) One investment pays 4% and another pays 11%. If equal amounts are invested in each account, the combined interest income for one year is $1,125.00. How much is invested at each

Question 423877: 1) One investment pays 4% and another pays 11%. If equal amounts are invested in each account, the combined interest income for one year is $1,125.00. How much is invested at each rate?
2)A turtle leaves Gila Bend heading north at 50mph. Two hours later a second turtle leaves Gila Bend heading north at 75mph. How long will it take the second turtle to overtake the first?

3) Two boats leave port at the same time, one heading east at 60 knots per hour and the other heading west at 50 knots per hour. How long will it take them to be 715 miles apart?

4)A store manager mixes candy worth 90 cents per pound with gumdrops worth $1.50 per pound to make 20 pounds of a mixture worth $1.20 per pound. How many pounds of each kind of candy must he use?
5) A store sells regular coffee for $4 per pound and a gourmet coffee for $7 per pound. To get rid of 40 pounds of the gourmet, the shopkeeper plans to make gourmet blend to sell for $5 a pound. How many pounds of regular coffee should be used?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
1) One investment pays 4% and another pays 11%. If equal amounts are invested in each account, the combined interest income for one year is $1,125.00. How much is invested at each rate?
4%--------$x
11%-------$x
4x+11x=1125*100
15x=112500
/15
x=$7300 in each
2)A turtle leaves Gila Bend heading north at 50mph. Two hours later a second turtle leaves Gila Bend heading north at 75mph. How long will it take the second turtle to overtake the first?
Turtle 1 50 mph
Turtle 2 75 mph
Difference in time= 02:00
Turtle 1will have covered 100 miles before Turtle 2 starts

catch up distance= 100 miles
catch up speed = 75 -50 mph
catch up speed = 25 mph

Catchup time = catchup distance/catch up speed
catch up time= 100 / 25
catch up time= 4 hours

3) Two boats leave port at the same time, one heading east at 60 knots per hour and the other heading west at 50 knots per hour. How long will it take them to be 715 miles apart?
Add up speeds since they are going in opposite directions
50+60 =110 knots
distance = 715 miles
Time = 715/110
=6.5 hours
4)A store manager mixes candy worth 90 cents per pound with gumdrops worth $1.50 per pound to make 20 pounds of a mixture worth $1.20 per pound. How many pounds of each kind of candy must he use?
0.9---------------- x
1.5---------------- 20-x
1.20---------------- 20
0.9x+1.5 (20-x)=1.2* 20
0.9x+30- 1.5x=24
0.9x-1.5 x=24-30
-0.6x-= -6
/-0.6
x=10 pounds of $ 0.90
10 pounds of $1.50

5) A store sells regular coffee for $4 per pound and a gourmet coffee for $7 per pound. To get rid of 40 pounds of the gourmet, the shopkeeper plans to make gourmet blend to sell for $5 a pound. How many pounds of regular coffee should be used?
$7---------------- 40
$4---------------- x
$5---------------- 40+x
...
7*40+4*x =5(40+x)
280+4x=200+5x
4x-5x=200-280
-1x=-80
/-1
x=80 pounds of $4

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