Math problem- High school algebra 1- System word problems- Just need the equations?

Question

Okay so I just need the Equations but you can tell me more if you want. Oh and I'm not getting you to give me all the answers to hw I had 4 pages of them and these are the ones i can't figure out.

Here's the problems

#1
A shipment of computer monitors, some weighing 25lbs and the others 40lbs each, has a total weight of 680 lb. If there are 20 monitors altogether, how many weigh 40lbs?

# 2

A geometry teacher has a set of 60 plastic pentagons and octagons. she happened to notice that all the figures together have a total of 354 sides. how many of each shape are there?


#3
The # of calories in a piece of cake is 20 times less than 3 times the number in a scoop of ice cream. The cake and ice cream together have 620 calories. How many calories are in each.

#4

Ms buxx invested a total of 2000 in 2 savings accounts. The first account pays 3% interest per year the second pays 5% Interest Per year. If the interest from both accounts totals $84 per year, how much is invested in each account.

#5

The total value of $5 dollar bills and $10 bills in a cash box is $410. There are eight more $10 bills Than $5 bills. How many of each are there.


Every one should have TWO equations!
Thank you!!!

    34 minutes ago
    - 4 days left to answer.

Anna · Accepted Answer

1
x= one type of computer monitor
y= another type of computer monitor
x+y=20 (since you know there are a total of 20 monitors together)
25x+40y=680 (since there are a total of 680 lbs, and there are 25 lbs per one type and 40 lbs per another type of computer monitor)

# 2
x=pentagons
y=octagons
x+y=60 
5x + 8y= 354 (since a pentagon has 5 sides, therefore its 5 times the number of pentagons, same with y. There are 8 sides per octagon so it is 8 times however many octogans there are, adding up to a total of 354 sides)

#3
x= calories of a piece of cake
y= number in a scoop of ice cream
x+y=620
20x < 3y (not sure if it's supposed to be < or an = symbol..but either way you will get the same answer, if its really < symbol then treat it as a = symbol)

#4
x= first account
y= second account  
*not sure if I'm right about this since there are % symbols in the problem, I'll just assume I need to convert it to decimals. If I am wrong, just change it back to %*
x+y=2000
.03x + .05y = 84 (to change % to a decimal, divide by 100. 3/100= .03, and 5/100 is .05)

#5
x= $5 dollar bills
y= $10 dollar bills
x+y=410
y+8=x (since there are 8 more 10 dollar bills than 5 dollar bills)

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Math problem- High school algebra 1- System word problems- Just need the equations?

1 Answer