eddy2017
Elite Member
- Joined
- Oct 27, 2017
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Hannah is at the supermarket to buy carrots and potatoes. If she buys 3 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $10 dollars and if she buys 5 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $14 dollars. Which of these statements is correct:
a) carrots cost $2.50 a pound, which is more than potatoes cost.
b) carrots costs $2.00 a pound, which is the same as potatoes cost
c) carrots costs $ 2.00 a pound, which is less than potatoes cost.
d) potatoes cost $4.00 a pound, which is less than carrots cost.
I assigned variables to the cost of both carrots and to potatoes
let's say that carrots cost x dollars per pound
let's say that potatoes cost y dollars per pound.
If she buys 3 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $10
i can set this up in math notation like this:
3 * x + 4 * y=10
if she buys 5 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $14 dollars
5 * x + 4 * y =14
I have to equations here so I can solve it as a system of equations.
3x + 4y =10
5x +4y =14
I have studied that there are different methods to solve a system of linear equations : graphing. substitution method. elimination method.
If all this is correct up to here,
which is the method you would use, the best, the easiest, the fastest?
thank you in advance
a) carrots cost $2.50 a pound, which is more than potatoes cost.
b) carrots costs $2.00 a pound, which is the same as potatoes cost
c) carrots costs $ 2.00 a pound, which is less than potatoes cost.
d) potatoes cost $4.00 a pound, which is less than carrots cost.
I assigned variables to the cost of both carrots and to potatoes
let's say that carrots cost x dollars per pound
let's say that potatoes cost y dollars per pound.
If she buys 3 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $10
i can set this up in math notation like this:
3 * x + 4 * y=10
if she buys 5 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $14 dollars
5 * x + 4 * y =14
I have to equations here so I can solve it as a system of equations.
3x + 4y =10
5x +4y =14
I have studied that there are different methods to solve a system of linear equations : graphing. substitution method. elimination method.
If all this is correct up to here,
which is the method you would use, the best, the easiest, the fastest?
thank you in advance