Answer to Question #88587 in Algebra for Marcus

Question #88587
An MTN cellular-phone user notices that her cellular phone accounts for three
consecutive months were significantly different. In May, her account was one and a half
times more than her account in June. Her account in July was R 50 more than her account in
June. In total, she spent R575 in cellular-phone accounts in the three months. What was her
account for each month?
1
Expert's answer
2019-04-26T14:12:46-0400

x1x_1 - R was spent in May

x2x_2 - R was spent in June

x3x_3 - R was spent in July


Construct the system of equations:



x1=1.5x2x_1 = 1.5 * x_2x2=x350x_2 = x_3 - 50x1+x2+x3=575x_1 + x_2 + x_3 = 575



Since x2=x350x_2 = x_3 - 50 and x1=1,5x2x_1 = 1,5 * x_2 thus:


1.5(x350)+x350+x3=5751.5 * (x_3 - 50) + x_3 - 50 + x_3 = 575

1.5x3+x3+x3=575+50+751.5 * x_3 + x_3 + x_3 = 575 + 50 + 75

3.5x3=7003.5 * x_3 = 700

x3=200x_3 = 200


Find x2 :

x2=x350=20050=150x_2 = x_3 - 50 = 200 - 50 = 150


Find x1 :

x1=1.5x2=1.5150=225x_1 = 1.5 * x_2 = 1.5 * 150 = 225



Answer:


May: x1 = 225

June: x2 = 150

July: x3 = 200


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Comments

Assignment Expert
27.04.19, 20:30

Dear patricia, please use the panel for submitting new questions.

patricia
26.04.19, 20:52

The profit made by a company when 60 units of its product is sold is R 1 600.00. When 150 units of its products are sold, the profit increases to R 5 200.00. Assuming that the profit function is linear and of the form

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