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Nadya [2.5K]
3 years ago
5

The ratio of Julia’s peas to Vlada’s peas was 3:2. After Julia gave 15 peas to Vlada, she still had 10 more peas than Vlada. How

many peas did Julia have to start with?
please do not answer, if you are not high school level. Also please give me an explanation of how you did it, not just an answer.
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
8 0
The ratio of Julia's to Vlada's peas was 3:2.
1. Julia gave Vlada 15 peas.
2. Vlada had how many peas?
3. Vlada had 4:2 peas after Julia gave her 15 more peas. (3:2+15=4:2)
4. Julia still had 15 more than Vlada.
5. Julia had 5:7 because (4:2+15=5:7)
6. To find out the amount of peas she had BEFORE she gave Vlada the peas, you subtract 5:7 from 15. That would equal 4:2.
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It is helpful to plot the points on a graph. There, you can see that the rise and run of each segment are 1 and 4 (or vice versa). This tells you they are the same length, but not perpendicular.

A quadrilateral with all sides the same length, but not perpendicular, is a rhombus.

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The equation of the relation ⇒ y=\frac{6x}{z}

y = 18

Step-by-step explanation:

∵ y ∝ x/z

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If there are 35 total votes and 5% of people voted for one thing, how many people would be that 5%?
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Riley is saving up to buy a new television. She needs a total of $1,049.77. Riley has saved $200.79 already and earns $77.18 per
Xelga [282]

11 weeks are required for Riley to work to save enough money to buy the new television

<h3><u>Solution:</u></h3>

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 -  $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

n \times 77.18 = 1 \times 848.98\\\\n = \frac{848.98}{77.18}\\\\n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

<h3><u>Method 2:</u></h3>

<em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

n = \frac{848.98}{77.18}

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

5 0
4 years ago
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