Step-by-step explanation:
To find out if Yolonda bought enough mixed nuts and dried fruit for the party, we need to compare the total weight of the items purchased with the desired weight of 6 pounds.
Let's assume the weight of the mixed nuts is x and the weight of the dried fruit is y.
We are given that Yolonda paid $21.60 for the mixed nuts, so we can set up an equation based on the price per pound:
x * Price per pound of mixed nuts = $21.60
We are also given that Yolonda paid $11.90 for the dried fruit, so we can set up another equation based on the price per pound:
y * Price per pound of dried fruit = $11.90
We are further given that the total weight of the mixed nuts and dried fruit is 6 pounds:
x + y = 6
Now, we need to check if Yolonda bought enough mixed nuts and dried fruit by solving the system of equations.
From the first equation, we can rearrange it to solve for x:
x = $21.60 / Price per pound of mixed nuts
Similarly, from the second equation, we can rearrange it to solve for y:
y = $11.90 / Price per pound of dried fruit
Substituting these expressions for x and y in the third equation, we have:
$21.60 / Price per pound of mixed nuts + $11.90 / Price per pound of dried fruit = 6
Without knowing the specific prices per pound, it is not possible to determine if Yolonda bought enough mixed nuts and dried fruit for the party.
