I have trouble with world problems and three especially are giving me grief, can anyone verify my answers?
First:
The length of a yard is triple the length of the garden. Write the expression for the difference between the length of the yard and the length of garden.
(a) Define the variable being used. (b) Write the expression given in the problem; do not simplify at this step.
(c) Simplify the expression.
A: Y=yard G=garden
B: Y-G=3G-G
C: 2G
Second Question
Tina received 2000 fewer votes than Michael in an election. Samantha received 4200 more votes than Michael in the election. Write the expression for the number of votes received by Samantha plus the number of votes received by Michael minus the number of votes received by Tina.
(a) Define the variable being used.
(b) Write the expression given in the problem; do not simplify at this step.
(c) Simplify the expression.
A: M-2000=T M+4200=S
B: S+M-T= M+4200+M-(M-2000) = M+4200+M-M+2000
C: M+6200
Final question:
A gold bracelet costs $130 less than a gold necklace. A gold locket costs $60 more than the gold necklace. Write the expression for the price of the bracelet plus the price of the necklace minus the price of the locket.
For this project, please translate the word problems below using the given directions.
(a) Define the variable being used.
(b) Write the expression given in the problem; do not simplify at this step.
(c) Simplify the expression.
A: B = N-130 L = N+60
B: N-130+N+60-L
C: 2N-70-L
Thank you so much for verifying or explaining where I went may have went wrong.
1 answer
It said: "The length of a yard is triple the length of the garden"
--> so if you let the length of the garden be x
then the length of the yard is 3x
(we could have used any variable name, you used G, that's fine)
It said: "the difference between the length of the yard and the length of garden
difference means "subtract" , so
3x - x
= 2x
2. I did this for you in the other post
3. cost of gold necklace---- x
cost of gold bracelet = x - 130
cost of gold locket = x+60
price of the bracelet plus the price of the necklace minus the price of the locket
= (price of the bracelet) + (the price of the necklace) - (the price of the locket)
= (x-130) + x - (x+60)
= x-130+x-x-60
= x - 190