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Johnny has 15 toys with a total value of $125. If some of Johnny's toys are worth $5 and the others are worth $10, how many toys does Johnny have that are worth $5?

Respuesta :

TomShelby

Answer:

5TOYS ARE WORTH 15

10TOYS ARE WORTH 5

Explanation:

We have to set up the equation system

we know that both kind of toys total 15 and their monetary value is 225

[tex]x + y = 15 \\ 15x + 5y = 125[/tex]

then we clear y in the first equation and replace it in the second equation

[tex]y = 15 - x \\ 15x + 5(15 - x) = 125[/tex]

we solve for x in the second:

[tex]15x - 5x = 125 -5 \times 15 \\x = 50 \div 10 = 5[/tex]

Next we solve for y in the first equation

[tex]y = 15 - x= 15 - 5 = 10[/tex]