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Simulaneous Equations #10

Open Ams627 opened 1 year ago

Ams627 commented 1 year ago

For example: apples and bananas

5a + 5b = 60 2a + 2b = 33

Also, the difference in price between an apple and a banana. So (a-b) = 3.

Ams627 commented 1 year ago

Adam, Beta and Cyril collect Pokemon cards. Adam has 50 more than Beta and Cyril has 20 less than Beta. Adam has twice as many as Cyril. Calculate how many pokemon cards Beta has

Ams627 commented 1 year ago

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There were five times more children than adults on the trip. There were 60 fewer adults than children. Calculate how many children were on the trip.

Ams627 commented 1 year ago

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Calculate the perimeter of L

Ams627 commented 1 year ago

Solution to the above. We will use letters S, L, M and X to represent one side of each type of square. X = the XL square.

For the big square: 4s + m = 260 - 2m which means 4s + 3m = 260. The large square L: L = 4S. So for the medium square 2M = 6S, which means M = 3S.

Therefore 4s + 9s = 260, 13S = 260, so S = 20 and L = 80 and the perimeter is 320 cm.

Ams627 commented 1 year ago

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Eleven points separating ten equal parts are shown on the number line. Points A, B, C, D represent four numbers. At point C is the number 48. The number at D is 24 greater than the number at B.

  1. Mark the point P where the number 0 is on the number line.
  2. Calculate the number at point A.

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Solution: D - B = 24, so one division is 8.

A = 48 - 64 = -16.