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8_murik_8 [283]
1 year ago
12

Kevin and Randy Muise have a jar containing 62 coins, all of which are either quarters or nickels. The total value of the coins

in the jar is
$7.90. How many of each type of coin do they have?
Mathematics
1 answer:
sukhopar [10]1 year ago
7 0

Answer: 38 nickels, 24 quarters

Step-by-step explanation:

x=number of quarters

y=number of nickels

x + y = 62

$0.25x + $0.05y = $7.90

solve for x in terms of y, then substitute into the 2nd equation:

x = 62-y

.25(62-y) + .05y = 7.90

15.5 - .25y + .05y = 7.90

15.5 - .20y = 7.90

-.20y = -7.6

y = -7.6/-.20

y = 38

now solve for x:

x  + 38 = 62

x = 62-38 = 24

x = 24

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Ben makes only tables and chairs at his wood-making shop.
bonufazy [111]

What is the maximum number of chairs and tables Ben can make in a month.

Answer:

Maximum number of tables he can make per month = 100 tables

Maximum number of chairs he can make per month = 400 chairs

Step-by-step explanation:

He is not able to make more than 500 pieces of furniture per month

Also, he needs to make at least 25 tables and at least 100 chairs each month.

x is number of tables and y is number of chairs per month.

Thus, inequality to represent this is;

x + y ≤ 500

Constraints are;

x ≥ 25

y ≥ 100

Since minimum is 25 tables and 100 chairs, we say that 1 table would need 100/25 = 4 chairs

Thus, ratio of tables to chairs should always be 1:4

Thus,

Maximum number of tables per month = 1/5 × 500 = 100 tables

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