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sergey [27]
3 years ago
6

Talia is buying beads to make bracelets. She makes a bracelet with 7 plastic beads and 5 metal beads for $7.25. She makes anothe

r bracelet with 9 plastic beads and 3 metal beads for $6.75. Write and solve a system of equations using elimination to find the price of each bead.​
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0
<h2>Plastic Beads = $0.50</h2><h2>Metal Beads = $0.75</h2><h2 />

p = Plastic Beads

m = Metal Beads

Equations:

7p + 5m = 7.25

9p + 3m = 6.75

Make one pair of coefficients the same:

3 * (7p + 5m = 7.25) = 21p + 15m = 21.75

5 * (9p + 3m = 6.75) = 45p + 15m = 33.75

Remove that coefficient;

(45p + 15m) - (21p + 15m) = 33.75 - 21.75

(45p - 21p ) + ( 15m - 15m) = 33.75 - 21.75

24p = 12

24p / 24 = 12 / 24

<h3><u>p = 0.5</u></h3><h3 />

Substitute the result into one of the original equations.

(7 * 0.5) + 5m = 7.25

Rearrange to find the missing value:

7.25 - (7 * 0.5) = 5m

7.25 - 3.5 = 3.75

5m = 3.75

5m / 5 = 3.75 / 5

<h3><u>m = 0.75</u></h3>
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Given :

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4A.
antoniya [11.8K]

The number of paychecks Jalen will have to save until he can purchase the laptop is 6

<h3>How many paychecks will Jalen have to save until he can purchase the laptop? </h3>

<u>Define your variable</u>

To do this, we use the following variables

  • x represents the number of paychecks
  • y represents the cost of the laptop

<u>Set up an equation, and solve it.</u>

In (a), we have:

  • x represents the number of paychecks
  • y represents the cost of the laptop

Using the above variables, the equation is:

y = 200 + 50x

The cost of the laptop is $500.

So, we have:

200 + 50x = 500

Evaluate the like terms

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Divide by 50

x = 6

Hence, the number of paychecks Jalen will have to save until he can purchase the laptop is 6

Read more about linear equations at:

brainly.com/question/14323743

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Step-by-step explanation:

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Use the internet for full steps

x = -7

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