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

Question

3 years ago

7

does Johnny have that are worth $5?

1 answer:

Luden [163] · Answer 1 · 2022-05-14T15:45:56+03:00

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

$x + y = 15 \\ 15x + 5y = 125$

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

$y = 15 - x \\ 15x + 5(15 - x) = 125$

we solve for x in the second:

$15x - 5x = 125 -5 \times 15 \\x = 50 \div 10 = 5$

Next we solve for y in the first equation

$y = 15 - x= 15 - 5 = 10$