1. Write the ratio in the simplest form.
50:10
25:5
10:2
5:1
1:5
2. Solve the following proportion.
r/5= 9/21
r = 9
r = 2.14
r = 11.66
r = 37.8
3. A recipe calls for 3 cups of flour to make 3 dozen cookies. Use the proportion to calculate how much flour is needed to make 9 dozen cookies.
three cups over three dozen equals x cups over nine dozen
6 cups
3.5 cups
9 cups
12 cups
4. Jake sold 39 tickets to the school fair, and Jeanne sold 12 tickets. What is the ratio, in simplest form, of the number of tickets Jeanne sold to the number of tickets Jake sold? (
thirteen over four
thirty-nine over twelve
twelve over thirty-nine
four over thirteen
5. In 10 months, 62.6 gallons were used. Find the unit rate. (1 point)
0.16 gallons/month
10 gallons/month
6.3 gallons/month
626 gallons/month
6. You pay $2.97 for 3 cookies. What is the unit price? (1 point)
$0.97 per cookie
$0.99 per cookie
$1.00 per cookie
$2.97 per cookie
My answers:
1. 10:2
2.?
3. 3.5
4. 4/ 13
5.6.3
5.?
Plz, plz help me.....
Looks like an attitude check is needed aswell.
1. No.
50:10 = 5:1
2.
r/5= 9/21
Cross multiply and solve for x.
21r = 45
r = 45/21
r = 2.1429
3. No.
4. No.
5. Right
6. 2.97 / 3 = ?
1.
10:2 is not in lowest terms, both numbers divide by 2
10:2
= 5:1
2.
r/5= 9/21
r = 45/21 = 15/7 which is appr 2.143
They should have given 15/7 as the correct choice,
the rounded off number is not exact.
3. puzzled by your choice.
it takes 3 cups to make 9 dozen
so it takes 9 cups to make 9 dozen
4.
39/12 , this fraction does not reduce any more
5. 62.6 gallons/10 months = 6.26 gallons/month
(you had that one right, finally!)
6. If 3 cookies cost $2.97 then
1 cookie costs 2.97/3 or 99 cents per cookie
Wow, 1 out of 6!
Looks like some major study time and review is needed.
1. To write the ratio in simplest form, we need to find the greatest common divisor (GCD) of the two numbers (50 and 10) and divide both numbers by that GCD. In this case, the GCD of 50 and 10 is 10. Dividing both numbers by 10, we get 50/10 = 5/1. Therefore, the ratio in simplest form is 5:1.
2. To solve the proportion r/5 = 9/21, we need to cross multiply. Cross multiplying means multiplying the numerator of the first fraction (r) by the denominator of the second fraction (21) and multiplying the denominator of the first fraction (5) by the numerator of the second fraction (9). So, we get r * 21 = 5 * 9. Simplifying this equation, we get 21r = 45. To solve for r, divide both sides of the equation by 21, which gives r = 45/21, which can be further simplified to r ≈ 2.14.
3. The given proportion is 3 cups / 3 dozen = x cups / 9 dozen. To solve for x, we can cross multiply as explained in the previous question. Cross multiplying gives us 3 * 9 dozen = 3 cups * x. Simplifying this equation, we get 27 dozen = 3x cups. To solve for x, divide both sides of the equation by 3, which gives x = 27 dozen / 3, which is equivalent to x = 9 dozen. Since one dozen is equal to 12, multiplying 9 dozen by 12 gives us 108 cups, so the amount of flour needed to make 9 dozen cookies is 108 cups.
4. To find the ratio between the number of tickets Jeanne sold and the number of tickets Jake sold, divide the number of tickets Jeanne sold (12) by the number of tickets Jake sold (39). The ratio is 12/39, which can be simplified to 4/13.
5. To find the unit rate, divide the total gallons used (62.6) by the number of months (10). The unit rate is 62.6 gallons / 10 months, which simplifies to 6.26 gallons/month.
6. To find the unit price, divide the total cost ($2.97) by the number of cookies (3). The unit price is $2.97 / 3 cookies, which is approximately $0.99 per cookie.
Corrected answers:
2. r ≈ 2.14
5. 6.26 gallons/month