i can't solve these two questions
1. In an office building, 52 offices are currently being rented. This represents 40% of the total units. How many offices are there in the building?
2. The sales tax is $43 on the purchase of a dining room set for $1075. Find the sales tax rate.
#1. 0.40 x = 52
#2. x = 43/1075 * 100%
1. ? i can't figure out.
for # 2. i got 172
r * 1075 = 43
r = 43/1075 * 100% = 4 %.
Sure! Let me help you solve these two questions step by step:
1. To find the total number of offices in the building, we can use the concept of percentages. We know that 52 offices represent 40% of the total units.
To find the total number of units in the building, we can set up a proportion:
(52 / x) = (40 / 100)
Cross multiplying gives:
52 * 100 = 40 * x
Simplifying the equation, we get:
5200 = 40x
Now we can solve for x by dividing both sides of the equation by 40:
x = 5200 / 40
Simplifying the equation further, we get:
x = 130
Therefore, there are 130 offices in the building.
2. To find the sales tax rate, we can use the formula:
Sales tax amount = Purchase amount * Sales tax rate
We are given that the sales tax amount is $43 and the purchase amount is $1075. We need to find the sales tax rate.
Rearranging the formula, we get:
Sales tax rate = sales tax amount / purchase amount
Plugging in the values we know, we obtain:
Sales tax rate = 43 / 1075
Now, we can divide these two numbers:
Sales tax rate = 0.04
Multiplying it by 100 to express it as a percentage, we find that the sales tax rate is 4%.
Therefore, the sales tax rate on the purchase of the dining room set is 4%.