A sweet factory produces 5 different chocolate bars. the different flavors are always produced in the same proportions, for ever

Question

2 years ago

5

A sweet factory produces 5 different chocolate bars. the different flavors are always produced in the same proportions, for ever

y 4 coconut flavored bars 5 honeycomb 6 orange and 4 strawberry
what is the total number of chocolate bars if there are:
a) 280 orange flavored bars?

b) 960 coconut flavored bars?

c) 79 coffee flavored bars?

Mathematics

1 answer:

IRISSAK [1] · Answer 1 · 2023-09-12T05:14:06+03:00

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