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3 years ago

Glenn bought a game system and 3 video games for $375. Jim bought a game system and 4 video

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

Answer:

Cost of each video game = $35

Cost of each video game = $270

Step-by-step explanation:

Given:

Cost of 1 game system and 3 video game = $375

Cost of 1 game system and 4 video game = $410

Find:

Cost of each game system and each video game

Computation:

Assume;

Cost of each game system = g

Cost of each video game = v

So,

g + 3v = 375 ........ EQ1

g + 4v = 410 ......... EQ2

EQ 2 - EQ 1

4v - 3v = 35

v = 35

Cost of each video game = $35

g + 3v = 375

g + 3(35) = 375

g = 375 - 105

g = 270

Cost of each video game = $270

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Step-by-step explanation:

To find the original price, first we need to answer, \$\greenD{1.54}$1.54dollar sign, start color #1fab54, 1, point, 54, end color #1fab54 is \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent of what number?

Hint #22 / 5

Percent means per hundred, so \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent is equivalent to \blueD{\dfrac{5.5}{100}}

100

5.5

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Hint #33 / 5

To find the original price, we need to know \blueD{0.055}0.055start color #11accd, 0, point, 055, end color #11accd times what number equals \greenD{1.54}1.54start color #1fab54, 1, point, 54, end color #1fab54.

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Hint #44 / 5

\begin{aligned} \blueD{0.055} \maroonD{x} &= \greenD{\$1.54} \\\\ \dfrac{\blueD{0.055} \maroonD{x}}{\blueD{0.055}} &= \dfrac{\greenD{\$1.54}}{\blueD{0.055}} \\\\ \maroonD{x} &= \maroonD{28} \end{aligned}

0.055x

0.055

0.055x

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