Question

The expression 2a+3b gives the cost (in dollars) for a shirts and b pairs of pants at a garage sale. A. The cost for 1 shirt is $ and the cost for 1 pair of pants is $ . B. The total cost for 5 shirts and 5 pairs of pants is $ . Question 2 c. Is $20 enough to buy 7 shirts and 2 pairs of pants?

Answer 1

Explanation:

If 2a+3b gives the cost (in dollars) for a shirts and b pairs of pants at a garage sale

a) To get cost for 1 shirt and the cost for 1 pair of pants, we will substitute a = 1 abd b = 2 into the expression given

Cost = 2(1) + 3(2)

Cost = 2 + 6

Cost = $8

Hence cost for 1 shirt and the cost for 1 pair of pants is $8

b) For the total cost for 5 shirts and 5 pairs of pants;

a = 5 and b= 5

Cost = 2(5)+3(5)

Cost = 10 + 15

Cost = $25

Hence the total cost for 5 shirts and 5 pairs of pants is $25

c) To check whether $20 will be enough to buy 7 shirts and 2 pairs of pants, we will substitute a = 7 and b = 2 into the expression;

Cost = 2(7)+3(2)

Cost = 14 + 6

Cost = $20

Hence $20 will be enough to buy 7 shirts and 2 pairs of pants