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Mathematics Clinic => Grade 11 and 12 Mathematics => Topic started by: KimWrice on Jun 7, 2019

Title: Hamidah's sales last week were $251 less than three times Colleen's sales. Together they sold $1123. ...
Post by: KimWrice on Jun 7, 2019

Question 1

The difference between seven times the first number and three times the second number is 12. The sum of three-fourths of the first number and two-thirds of the second number is 21. Find the two numbers.

Question 2

Hamidah's sales last week were $251 less than three times Colleen's sales. Together they sold $1123. Determine how much each person sold last week.

Title: Hamidah's sales last week were $251 less than three times Colleen's sales. Together they sold $1123. ...
Post by: leahm14 on Jun 7, 2019

Answer 1

Let the first number be x and the second number be y.
7x - 3y = 12
x + y = 21

∗ 12	9x + 8y = 252

∗ 9	63x - 27y = 108

∗ 7	63x + 56y = 1764

-83y = -1656
y = 19.951807
7x - 3(19.951807) = 12
7x - 59.855422 = 12
7x = 71.855422
x = 10.26506

Answer 2

Let Hamidah's sales be $x and Colleen's sales be $y.
x + y = 1123
x = 3y - 251

Rearrange

x - 3y = -251

x + y = 1123
x - 3y = -251
4y = 1374
y = 343.50
x + 343.50 = 1123
x = $779.50

Title: Hamidah's sales last week were $251 less than three times Colleen's sales. Together they sold $1123. ...
Post by: KimWrice on Jun 7, 2019

Thanks

Title: Hamidah's sales last week were $251 less than three times Colleen's sales. Together they sold $1123. ...
Post by: leahm14 on Jun 7, 2019

Welcome :)