We will solve this by suing simultaneous equations,
⇒ 5s + 3j = 87
4s + 2j = 64
Multiply the first equation with 4 and the second one with 5, this is to get one of the values equal so that we can cancel them out,
⇒ (5s + 3j = 87) × 4
(4s + 2j = 64) × 5
∴ ⇒ 20s + 12j = 348
20s + 10j = 320
Subtract both the equations. This is how your result (after subtraction) should look like,
⇒ 2j = 28
∴ ⇒ j = $14
Now replace the value of 'j' in one of the original equations,
⇒ 4s + 2(14) = 64
⇒ 4s + 28 = 64
⇒ 4s = 64 - 28
⇒ 4s = 36
∴ ⇒ s = $9
Therefore, one pair of jeans cost $14 and a shirt costs $9
Hope you understood! Feel free to ask me if you didn't understand a step.
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
5x - 11 = 3x + 5
Step 2: Solve for <em>x</em>
<u>Subtract 3x on both sides:</u> 2x - 11 = 5
<u>Add 11 to both sides:</u> 2x = 16
<u>Divide both sides by 2:</u> x = 8
Step 3: Check
<em>Plug in x to verify it is a solution.</em>
5(8) - 11 = 3(8) + 5
40 - 11 = 24 + 5
29 = 29
Answer:
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Answer:
<u>30 people </u>
Step-by-step explanation:
The question is as following:
Here are the ingredients for pineapple sherbet for 6 people
800g pineapple 4 egg whites 1/2 lemon 100g caster sugar
Dan makes pineapple sherbet he uses 2 1/2 lemons
work out how many people he makes pineapple sherbet for?
=======================================================
1/2 lemon needed for pineapple sherbet for 6 people
2 1/2 lemons needed for pineapple sherbet for <u>x</u> people
1/2 : 6 = 2 1/2 : x
∴ x = ( 6 * 2 1/2 ) ÷ (1/2)
x = 6 * 5/2 * 2 = 30 people
<u>So, he make the pineapple sherbet for 30 people </u>
The Answer is 1/2... Simplified
