havanarose03
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At the start of the month a shop had 20-inches and 40-inches television sets in the ratio 4:5. By the end of the month, 200 20-inches and 500 40-inches were sold and the ratio of 20-inches to 40-inches television sets became 1:1. How many television sets of each type were there at the start of the month?

Respuesta :

apologiabiology
hmmmm
intersting

reatio is 4:5
after 200 of the left side was sold and 500 of the right side was sold, then they are equal

so say x=y
x is right side
y is left side
when they are equal ( at end) x=y

x+200=starting number of 20 inch
y+500=starging number of 40 inch
that is in rati 4:5
so

(x+200)/(y+500)=4/5
x=y
(x+200)/(x+500)=4/5
cross multiply aka times both sides by 5(x+500)
5(x+200=4(x+500)
expand
5x+1000=4x+2000
minus 4x both sides
x+1000=2000
minus 1000 both sides
x=1000
y=1000

startx=x+200=1000+200=1200
starty=y+500=1000+500=1500



there are 1200  of the 20-inch TV sets and 1500 of the 40-inch TV sets

The number of television sets of each type were there at the start of the month will be 1200 20-inches and 1500 40-inches.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

At the start of the month, a shop had 20-inches and 40-inches television sets in the ratio 4:5.

Let x be the number of 20-inches TV and y be the 40-inches TV at starting of the month.

x/y = 4/5

x = (4/5)y

By the end of the month, 200 20-inches and 500 40-inches were sold, and the ratio of 20-inches to 40-inches television sets became 1:1.

(x – 200)/(y – 500) = 1/1

On simplifying, we have

x – 200 = y – 500

    x – y = –300

Put the value of x, we have

(4/5)y – y = –300

   –(1/5)y = –300

            y = 1500

Then the value of x will be

x = (4/5) 1500

x = 1200

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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