Question

Tad and Timothy went to the paint store together. Tad bought 6 cans of paint
and 1 paint brush for $67. Timothy bought 4 cans of the same paint and 3 of
the same type of paint brushes. Timothy’s total cost was $54.

Write a linear equation that represents Tad’s purchase and another
to represent Timothy’s purchase. Let x represent the cost of a can of
paint and y represent the cost of a paint brush.
b. Solve the system of linear equations using the substitution method.
c. What was the cost for a can of paint? The cost of a paint brush?

Answer 1

I am going to use c and b so I do not get confused (I confuse easily)
67 = 6 c + 1 b
54 = 4 c + 3 b

so 1 b = 67 - 6 c
substitute that in the second equation
54 = 4 c + 3 (67 - 6 c)
54 = 4 c + 201 - 18 c
14 c = 147
c = $10.50
b = 67 - 6*10.5 = $4.00

Answer 2

i dont get ur answer