1) A store sells small and large TV sets in the ratio 2:3. The total stock is 70
sets.1) How many small and large sets are in stock? 2)If the number of large
sets is increased by 8,what is the new ratio of small to big*

Question

anumumer2010 anumumer2010

22-04-2021
Mathematics

contestada

1) A store sells small and large TV sets in the ratio 2:3. The total stock is 70
sets.1) How many small and large sets are in stock? 2)If the number of large
sets is increased by 8,what is the new ratio of small to big*

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MrRoyal MrRoyal · Answer 1 · 2021-04-27T02:25:16+02:00

Answer:

(a)

[tex]Small = 28[/tex]

[tex]Large = 42[/tex]

(b)

[tex]Ratio = 14 : 25[/tex]

Step-by-step explanation:

Given

[tex]L = Large\\ S = Small[/tex]

[tex]S : L = 2 : 3[/tex]

[tex]Total = 70[/tex]

Solving (a): Number of each set.

The small set is calculated as:

[tex]Small = \frac{S}{S + T} * Total[/tex]

[tex]Small = \frac{2}{2+3} * 70[/tex]

[tex]Small = \frac{2}{5} * 70[/tex]

[tex]Small = 0.4 * 70[/tex]

[tex]Small = 28[/tex]

Using complement rule.

[tex]Large = Total - Small[/tex]

[tex]Large = 70 - 28[/tex]

[tex]Large = 42[/tex]

Solving (b): Increase large by 8.

The ratio is then calculated as:

[tex]Ratio = Small : Large + 8[/tex]

[tex]Ratio = 28 : 42 + 8[/tex]

[tex]Ratio = 28 : 50[/tex]

Divide by 2

[tex]Ratio = 14 : 25[/tex]

1) A store sells small and large TV sets in the ratio 2:3. The total stock is 70 sets.1) How many small and large sets are in stock? 2)If the number of large sets is increased by 8,what is the new ratio of small to big*

Respuesta :

Otras preguntas

1) A store sells small and large TV sets in the ratio 2:3. The total stock is 70
sets.1) How many small and large sets are in stock? 2)If the number of large
sets is increased by 8,what is the new ratio of small to big*