Explanation:
Black and blue pens are 7 to 28 or 7:28 in ratio. Divide both sides by 7 to get the lowest terms (1:4)
Explanation:
This is a straightforward direct proportion issue.
x pages can be typed by Kate in 5 minutes if she can type 1 page in p minutes.
Cross multiplication is what we do. x * p = 5 * 1
So, x = 5/p.
Explanation:
One machine can generate 1450/10 = 145 meters of cloth with 100% efficiency.
4 machines generate 4 * 145 * 95/100 = 551 m of cloth while operating at 95% efficiency.
Six machines can create 6 * 145 * 90/100 = 783 m of cloth with a 90% efficiency.
All 10 machines produced a total of 551 + 783 = 1334 m of cloth.
We didn't need to use the time to arrive at the solution because the information is given and the question are based on 8 hours.
Explanation:
The dishwasher is $450 in price.
15% off the total payment equals 450‣15/100 = $67.5
The reduced cost is $382.5 (450 - 67.5).
20% more off the lowest price, or 382.5 ‥ 20/100, or $76.5.
The final discounted cost is therefore = 382.5 - 76.5 = $306.0049.
Explanation:
Original price = x,
80/100 = 12590/X,
80X = 1259000,
X = 15,737.50
Explanation:
The employee is paid in normal time for 7.5 hours and 1.5 times the regular rate for the remaining hours (3.5 hours). 12.75 hours are compensated in total (7.5 + 1.5 x 3.5). You may calculate her hourly rate, $8.78, by dividing the amount she received for the day ($112) by the number of hours she was paid ($12.75).
Explanation:
This is an inverse ratio problem.
1/x = 1/a + 1/b where a is the time Sarah can paint a house, b is the time Johnny can paint a house, x is the time Sarah and Johnny can together paint a house.
So,
1/x = 1/4 + 1/6 … We use the least common multiple in the denominator which is 24:
1/x = 6/24 + 4/24
1/x = 10/24
x = 24/10
x = 2.4 hours.
In other words; 2 hours + 0.4 hours = 2 hours + 0.4‣60 minutes
= 2 hours 24 minutes
