I could really use some help.
The cost of 3 blankets and 2 pillows is $310. If the blanket cost $20 more than the pillow, write an equation to model the situation so that we can find the cost of the pillow and the blanket.
. A veterinarian is changing the diets of two animals, Simba and Cuddles. Simba currently consumes 1200 Calories per day. That number will increase by 100 Calories each day. Cuddles currently consumes 3230 Calories a day. That number will decrease by 190 Calories each day. The patterns will continue until both animals are consuming the same number of Calories each day. Write an equation to model the situation so that we can find how many days until both animals are consuming the same amount of calories.
Please.
3b+2p = 310
b = p+20
Now just solve for b and p. Since b=p+20,
3(p+20)+2p = 310
5p = 250
p = 50
so b = 70
Now you give the other a try. Make equations from the words, and then just solve the equations.
ok I will try thank you
D= each day the calories increase
1200+100d+3230+190d
1200+100d=3230+190
Sure! Let's solve each question step by step.
1. Cost of blankets and pillows:
Let's say the cost of a pillow is x dollars. Since the blanket cost $20 more than the pillow, the cost of the blanket would be (x+20) dollars.
According to the question, 3 blankets and 2 pillows together cost $310. So, we can write the equation as:
3*(x+20) + 2*x = 310
Now, we can simplify and solve this equation to find the cost of the pillow and the blanket.
2. Calories consumed by Simba and Cuddles:
Let's say the number of days until both animals consume the same amount of calories is d.
For Simba, we know that the initial consumption is 1200 Calories per day, and it increases by 100 Calories each day. So, the total number of calories Simba consumes after d days would be:
1200 + 100*d
For Cuddles, we know that the initial consumption is 3230 Calories per day, and it decreases by 190 Calories each day. So, the total number of calories Cuddles consumes after d days would be:
3230 - 190*d
According to the question, both animals will consume the same number of calories each day. So, we can write the equation as:
1200 + 100*d = 3230 - 190*d
Now, we can simplify and solve this equation to find the number of days until both animals consume the same amount of calories.
I hope this helps! Let me know if you have any further questions.