problem 6a\na truck delivers tables and chairs for a fair. the truck can carry 1000 pounds total.\n- tables…

problem 6a\na truck delivers tables and chairs for a fair. the truck can carry 1000 pounds total.\n- tables weigh 50 pounds each.\n- chairs weigh 10 pounds each.\ncomplete the table showing three ways the truck can be packed with tables and chairs.\n(table with columns: number of tables, t; number of chairs, c. rows: t=1 (c empty), c=60 (t empty), t=20 (c empty))

problem 6a\na truck delivers tables and chairs for a fair. the truck can carry 1000 pounds total.\n- tables weigh 50 pounds each.\n- chairs weigh 10 pounds each.\ncomplete the table showing three ways the truck can be packed with tables and chairs.\n(table with columns: number of tables, t; number of chairs, c. rows: t=1 (c empty), c=60 (t empty), t=20 (c empty))

Answer

Explanation:

Step1: Find c when t=1

The total weight equation is (50t + 10c = 1000). Substitute (t = 1):
(50(1)+10c = 1000)
(50 + 10c = 1000)
(10c = 950)
(c = 95)

Step2: Find t when c=60

Substitute (c = 60) into (50t + 10c = 1000):
(50t + 10(60)=1000)
(50t + 600 = 1000)
(50t = 400)
(t = 8)

Step3: Find c when t=20

Substitute (t = 20) into (50t + 10c = 1000):
(50(20)+10c = 1000)
(1000 + 10c = 1000)
(10c = 0)
(c = 0)

Answer:

Number of Tables, ( t ) Number of Chairs, ( c )
1 95
8 60
20 0