Mathematics: For the final days before the election, the campaign manager has a total of $41,500 to spend on tv and radio campaign advertisements. each tv ad costs $3000 and is seen by 10,000 voters, while each radio ad costs $500 and is heard by 2000 voters. ignoring repeated exposures to the same voter, how many tv and radio ads will contact 148,000 voters using the allocated funds?

S i need to get lots of warnings so hiStep-by-step explanation:...

For the final days before the election, the campaign

claudia122752

02.01.2022

9 TV ads and 29 radio ads will contact 148,000 voters using the allocated funds .

Step-by-step explanation:

Let x denotes the number of users of TV ads and y denotes the number of radio ads.

Then by considering the given information, we have the foolowing system of equation:-

$\text{Number of voters}\ :10000x+2000y=148000----(1)\\\\\text{Total costs}\ :3000x+500y=41500------(2)$

Multiply 4 on both sides of equation (2) , we get

12000x+2000y=166000---------(3)

Subtract (1) from (3) , we get

$2000x=18000\\\\\Rightarrow\ x=\dfrac{18000}{2000}=9$

Put x= 9 , in (2), we get;

$3000(9)+500y=41500\\\\\Rightarrow\ 27000+500y=41500\\\\\Rightarrow\ 500=14500\\\\\Rightarrow\ y=\dfrac{14500}{500}=29$

Hence, the number of TV ads will be 9 and the number of radio ads will will be 29.

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