Question 31125: Problem:
Jessica earned $44 by selling 20 plants and 12 jars of honey. The price for each jar of honey is twice the price of each plant.
Questions:
#7. If p = the price of a plant, write an expression in terms of p for the price of 20 plants.
#8. If p = the price of a plant, write an expression in terms of p for the price of 12 jars of honey. Your expression will have the variable, p, in it.
#9. If p = the price of a plant, write an equation, in terms of p, to represent the total cost of 20 plants and 12 jars of honey. Your equation should use only one variable, p, and it will have an equal sign.
#10 What is the price of each jar of honey? Solve the equation you wrote in question #9, since you have solved for p, you have enough information to find the value.
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Please explane each step and why you do it. I am really not understanding how to do sentence problems.
Answer by mbarugel(146)   (Show Source):
You can put this solution on YOUR website! Hello!
- "If p = the price of a plant, write an expression in terms of p for the price of 20 plants"
The price of 20 plants is given by the expression  . For example, if the price of each plant were $2, then the price of 20 plants would be 20 times 2, or $40. So you simply need to multiply the price of the plants (p) by 20.
- "If p = the price of a plant, write an expression in terms of p for the price of 12 jars of honey"
First of all, we need to find an expression for the price of 1 jar of honey. We're told that each jar of honey costs twice as much as each plant. Therefore, if p is the price of one plant, then  is the price of 1 jar of honey. Therefore, the price of 12 jars of honey is  , or equivalently: 
- "If p = the price of a plant, write an equation, in terms of p, to represent the total cost of 20 plants and 12 jars of honey. Your equation should use only one variable, p, and it will have an equal sign"
We know that 20 plants cost and 12 jars of honey cost . Therefore, the cost of 20 plants and 12 jars of honey would be  or equivalently  . But we know that this price is equal to $44, because that's what Jessica earned when she sold 20 plants and 12 jars. So we get the equation
- "What is the price of each jar of honey? Solve the equation you wrote in question #9, since you have solved for p, you have enough information to find the value"
Let's solve the equation we found in #9. We have:
Dividing by 44 we get:
So the price of each plant is $1. Since the price of honey is twice as much as that, then each jar of honey costs $2
I hope this helps!
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