Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans
2 answers:
Answer:
Thus, the system of equations is given by,
Step-by-step explanation:
We are given that,
The number of 15-ounce cans = x and the number of 28-ounce cans = y.
Denise bought total 6 cans. So, we have,
Also, she bought total of 116 ounces of beans with 15 ounces in 'x' cans and 28 ounces in 'y' cans.
So, the equation is
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Answer:
x=35, y=21
Step-by-step explanation:
A way to rewrite the first equation is
after cross-multiplying, we get 3x=5y.
If we solve for one variable, we can substitute it into the other equation.
Let's solve for x.
3x=5y
x=(5/3)y
Now, we can substitute x=(5/3)y in the equation x+y=56.
(5/3)y+y=56
(8/3)y=56
y=21
Going back to x+y=56, we can now plug back in y, knowing that it is 21.
x+21=56
x=35.