the price of 2 cds is
$10.99 × 2 = $21.98
the discount on this price is
20% × $21.98 = $4.40
so, the total price before tax is
2 discounted cds + 2 regular price cds =
$21.98 - 4.40 + 21.98 = $39.56
then the tax is
5% × $39.56 = $1.98
so the total cost of the purchase is
price before tax + tax =
$39.56 + 1.98 = $41.54
alternatively, you can recognize that the number of discounted cds is the same as the number of cds not discounted, so the overall price is the same as it would be with half the discount (that is, 4×10.99 less 10%). the added tax multiplies the price by 1.05, so the overall price is
4 × 0.90 × 10.99 × 1.05 = 3.78 × 10.99 = 41.54
the answer would be 8 do you need an explanation?
the answer is a- equality
the correct answer is that a rose bush costs $10 and a shrub costs $4
to solve this, start by writing equations for what each spent. use x for the cost of a rose bush and y for the cost of a shrub. below would be the equations for each.
rob: 8x + 5y = 100
amy: 8x + 8y = 112
now to find the cost, we multiply rob's equation by -1 and add them together. this will get x to cancel and allow us to solve for y.
-8x - 5y = -100
8x + 8y = 112
3y = 12
y = 4
so we know the cost of a shrub is $4. now we can plug that in to either of the original equations and solve for the rose bush cost.
8x + 5y = 100
8x + 5(4) = 100
8x + 20 = 100
8x = 80
x = 10
which means that a rose bush costs $10.