Mathematics, 09.07.2021 02:40, slonekaitlyn01

Amy needs to mail a gift card to a friend. She uses 47-cent stamps and 6-cent stamps to pay $2.42 in postage. How many of each stamp did Amy use?

Answers: 1

Show answers

Answers

answered: rydersasser12

Amy used 4 41-cent stamps and 8 6-cent stamps.

Step-by-step explanation:

Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.

41 cents = 41/100 = $0.41

6 cents = 6/100 = $0.06

She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that

0.41x + 0.06y = 2.12

Multiplying through by 100, it becomes

41x + 6y = 212

6y = 212 -41x

We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.

If x = 3,

6y = 212 - 41 × 3 = 89

y = 89/6 = 14.8333

If x = 4,

6y = 212 - 41 × 4 = 48

y = 48/6 = 8

Amy used 4 41-cent stamps and 8 6-cent stamps.

Step-by-step explanation:

Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.

41 cents = 41/100 = $0.41

6 cents = 6/100 = $0.06

She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that

0.41x + 0.06y = 2.12

Multiplying through by 100, it becomes

41x + 6y = 212

6y = 212 -41x

We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.

If x = 3,

6y = 212 - 41 × 3 = 89

y = 89/6 = 14.8333

If x = 4,

6y = 212 - 41 × 4 = 48

y = 48/6 = 8

answered: j015

We need to find how many 47c stamps (let’s call the number of these stamps x) and how many 6c stamps (let’s call the number of these stamps y)
Together, the cost of 47x + 6y = 242 (242cents)
As x is more expensive, let’s look at that first.
If we bought 5 of the x stamps, that would cost 5x47=249. That is too much, so the most we can buy is 4 x stamps
4 of the x stamps cost 188.
We need to get to 242, so let’s look at the y stamps.
242 - 188 is 54. Each y stamp costs 6 cents, so how many can we buy?
54 / 6 = 9. And there we have our answer.
4 x stamps and 9 y stamps.
Four 47cent stamps and nine 6cent stamps.

answered: Guest

$32,660

step-by-step explanation:

answered: Guest

What is the diagram u didn't post that

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 18:00, ciara180

Place the following steps in order to complete the square and solve the quadratic equation,

Answers: 1

continue

Mathematics, 21.06.2019 19:30, ndurairajownkpq

The cone in the diagram has the same height and base area as the prism. what is the ratio of the volume of the cone to the volume of the prism? h hl base area-b base area =b volume of cone_1 volume of prism 2 volume of cone 1 volume of prism 3 volume of cone 2 volume of prism 3 oc. od. volume of cone volume of prism e. volume of cone volume of prism 3 2

Answers: 3

continue

Mathematics, 21.06.2019 20:00, demetriascott20

Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.

Answers: 2

continue

Mathematics, 21.06.2019 23:30, paolaf3475

Without multiplying, tell which product is larger and why. 5 × 1/3 or 5 × 2/3 a)5 × 1/3 because 1/3 is less than 2/3 b) 5 × 1/3 because 1/3 is greater than 2/3 c) 5 × 2/3 because 1/3 is less than 23 d) 5 × 23 because 1/3 is greater than 2/3

Answers: 1

continue

Do you know the correct answer?

Amy needs to mail a gift card to a friend. She uses 47-cent stamps and 6-cent stamps to pay $2.42 in...