a. There are 933 chocolate bars
b. There are 1200 chocolate bars
c. There are 1580 chocolate bars
<h3>How to calculate the number of chocolate bars</h3>
Since there are 5 different flavors,
let
- x = orange flavored bars,
- y = coconut flavored bars,
- z = coffee flavored bars,
- a = strawberry flavored bars and
- b = honeycomb flavored bars and
- X = total number of bars
Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry
So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5
So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20
<h3>a. What is the total number of chocolate bars if there are 280 orange flavored bars?</h3>
Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20
So, the amount of orange flavored bars is x = 6/20 × X
Making X subject of the formula, we have
X = 20x/6
So, if there are 280 orange bars, there will be
X = 20x/6
X = 20 × 280/6
X = 5600/6
X = 933.33
X ≅ 933 chocolate bars
So, there are 933 chocolate bars
<h3>b. What is the total number of chocolate bars if there are 960 coconut flavored bars?</h3>
Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20
So, the amount of coconut flavored bars is y = 4/20 × X
Making X subject of the formula, we have
X = 20y/4
So, if there are 960 coconut flavored bars, there will be
X = 20y/6
X = 20 × 960/4
X = 5 × 240
X = 1200 chocolate bars
So, there are 1200 chocolate bars
<h3>c. What is the total number of chocolate bars if there are 79 coffee flavored bars?</h3>
Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20
So, the amount of coconut flavored bars is z = 1/20 × X
Making X subject of the formula, we have
X = 20z
So, if there are 79 coffee flavored bars, there will be
X = 20z
X = 20 × 79
X = 1580 chocolate bars
So, there are 1580 chocolate bars
Learn more about ratio here:
brainly.com/question/1127546
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