<h3><u>The system of linear equations that represents the situation is:</u></h3>
a + b = 28
16a + 10b = 400
<h3><u>20 scented candles and 8 unscented candles were sold</u></h3>
<em><u>Solution:</u></em>
Let "a" be the number of scented candles sold
Let "b" be the number of unscented candles sold
From given,
Cost of 1 scented candles = $ 16
Cost of 1 unscented candles = $ 10
<em><u>The shop sells 28 candles today</u></em>
Therefore,
a + b = 28
b = 28 - a ------- eqn 1
<em><u>The shop sells 28 candles today and makes $400</u></em>
Therefore,
number of scented candles sold x Cost of 1 scented candle + number of unscented candles sold x Cost of 1 unscented candles = 400

16a + 10b = 400 ------ eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
16a + 10(28 - a) = 400
16a + 280 - 10a = 400
6a = 400 - 280
6a = 120
a = 20
<em><u>Substitute a = 20 in eqn 1</u></em>
b = 28 - 20
b = 8
Thus 20 scented candles and 8 unscented candles were sold
Answer:
the pattern is going in the form of 1³ , 2³ , 3³ , 4³
therefore next term should be 5³ which is equal to 125. So <u>the missing term is 125 </u>
I hope you got that.
By : Modern Einstein
Answer:
20
Step-by-step explanation: you have to find the amount of change then determine the percent of increase and round it to the nearest percent
32 -56=24 then round to the nearest number you get 20
Answer:
<u>David gets £24, Stephen gets £36, and June gets £36.</u>
Step-by-step explanation:
Firstly, add the ratio values together.
2:3:3 ⇒ 2 + 3 + 3 = 8
Next, divide £96 (your total) by 8.
£96 ÷ 8 = £12
Now, we have the number of pounds for 1 value.
Multiply 12 by each ratio value.
<u>12 × </u><u>2</u> : <u>12 × </u><u>3</u> : <u>12 × </u><u>3</u>
= 24:36:36
Therefore, David gets £24, Stephen gets £36, and June gets £36.
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