Ms. Nina wants to buy candy mix for $1.00 per pound. If she already bought 50 pounds of candy for $1.20 per pound, how much candy that costs 80 cents per pound must she buy?
(50 * 1.2) + (x * .8) = 1 (50 + x)
60 + .8 x = 50 + x
Answer:
Ms. Nina Should buy 50 pounds of candy for $0.80 per pound.
How I found out:
(50 ∙ 1.2) + (x ∙ 0.8) = 50 + x
60 + 0.8x = 50 + x
60 - 50 = x - 0.8x
10 = 0.2x
x = 50
To determine how much candy Ms. Nina must buy that costs 80 cents per pound, we can use a proportion.
Let's assume she needs to buy 'x' pounds of candy that costs 80 cents per pound.
The proportion can be set up as follows:
50 pounds (at $1.20 per pound) = x pounds (at $0.80 per pound)
Now, we can solve for 'x'.
50 pounds / $1.20 per pound = x pounds / $0.80 per pound
(50 / 1.20) = (x / 0.80)
41.67 = (x / 0.80)
To find the value of 'x', we can cross multiply:
41.67 * 0.80 = x
33.34 = x
Therefore, Ms. Nina must buy approximately 33.34 pounds of candy that costs 80 cents per pound.
To calculate the amount of candy that Ms. Nina must buy at 80 cents per pound, we need to compare the different prices and determine the difference in cost per pound.
First, let's calculate the difference in cost per pound between the two candies:
Cost difference per pound = $1.20 - $1.00 = $0.20
Next, let's determine how many pounds of candy can be bought with this cost difference:
Pounds of candy = Cost difference per pound / Price per pound
Pounds of candy = $0.20 / $0.80
To simplify the calculation, we can convert both values to cents:
Pounds of candy = 20 cents / 80 cents
Pounds of candy = 0.25 pounds
Therefore, Ms. Nina must buy 0.25 pounds of candy that costs 80 cents per pound.