Lily made $75.36 more than Layla did. If Layla raised her price to $1.00, she would still not make more money than Lily.
Use a proportion to find the number of cupcakes Lily makes in 8 hours. She bakes 7 cupcakes in 10 minutes; we want to know how many she makes in 8(60)=480 (since there are 8 hours and each hour is 60 minutes):
7/10 = x/480
Cross multiply:
7*480 = 10*x
3360 = 10x
Divide both sides by 10:
3360/10 = 10x/10
336 = x
Lily bakes 336 cupcakes.
She sells 2/3 of these; 2/3(336) = 2/3(336/1) = 672/3 = 224 cupcakes sold.
Each cupcake is sold for $1.29; 224(1.29) = 288.96
To find the number of cupcakes Layla makes in 8 hours, we set up a different proportion. We know she bakes 8 cupcakes in 12 minutes; we want to know how many she bakes in 8(60) = 480 minutes:
8/12 = x/480
8*480 = 12*x
3840 = 12x
Divide both sides by 12:
3840/12 = 12x/12
320 = x
She bakes 320 cupcakes. She sells 75% of those; 75% = 75/100 = 0.75:
0.75(320) = 240
Each of those 240 cupcakes sells for $0.89:
0.89(240) = 213.60
This means Lily makes 288.96-213.60 = 75.36 more than Layla.
If Layla raised her price to $1.00, she would make 1(240) = $240; this is still less than Lily.
Answer:each session of body sculpting workouts burns 51 calories.
Each session of Yoga workouts burns 83 calories.
Step-by-step explanation:
Let x represent the number of calories that she burnt doing one body sculpting workout session.
Let x represent the number of calories that she burnt doing one Yoga session.
Last week, she burned a total of 517 calories by doing 2 body sculpting workouts and 5 yoga sessions. This means that
2x + 5y = 517 - - - - - - - - - -1
This week, she has completed 2 body sculpting workouts and 1 yoga session and burned a total of 185 calories. This means that
2x + y = 185 - - - - - - - - - - - - 2
Subtracting equation 2 from equation 1, it becomes
4y = 332
y = 332/4 = 83 calories
Substituting y = 83 into equation 2, it becomes
2x + 83 = 185
2x = 185 - 83 = 102
x = 102/2 = 51 calories
12/7. You put the numbers into mixed numbers giving you 18/7 and 9/6. For division you flip the second fraction and multiply them together. So you do 18/7 x 6/9. You're also able to cross cancel 18 and 9 giving you 2/7 x 6/1. 6 x 2 is 12 and 7 x 1 is 7. Your answer is 12/7.
Answer: 432
Step-by-step explanation: 4 x 7 = 16
16 x 27 = 432
Hope this helps!
Answer:
HCDG
Step-by-step explanation:
