Question

Help?

Pineapples cost $2.50 each and mangos cost $1.50 each. Tim purchased 15 pieces of fruit for $29.50.

How many pineapples and how many mangos did he purchase?

Answer 1

let x = pineapples, and y = mangoes.

first equation: states you have # of pineapples + # of mangoes = total # of fruit.

Second equation: states cost of pineapples + cost of mangoes = total cost for both pineapples and mangoes.

Answer 2

is this equation right?
15 x 2.50x + 1.50y

Answer 3

@Jhannybean

Answer 4

Is there supposed to be an equality symbol in here? Just wondering about that.

15 x 2.50x + 1.50y

Answer 5

i was going to put one but i didnt know what to put after it

Answer 6

Just seems like a system of equation problem to me.

Answer 7

I started out this way:

Let p = the number of pineapples
15- p is the number of mangos

So, 2.50*p + 1.50*(15 - p) = 29.50

Answer 8

I will try that

Answer 9

I was solving it this way:

let x = pineapples, and y = mangoes.

x+ y = 15

2.50x + 1.50y = 29.50

Answer 10

I dont really get how i figure out how many pineapples and how many mangoes there are?

Answer 11

You solve it like a system of linear equations by the process of elimination.

Answer 12

Or substitution.

Answer 13

ou want to eliminate 1 variable in order to solve by the process of elimination, so we could start by getting rid of the x's first. Multiply by the reverse value.

-2.50(x+ y = 15)

2.50x + 1.50y = 29.50
_________________________
-2.50x - 2.50y = -37.50
2.50x + 1.50y = 29.50
_______________________________
0x - 1y = -8
y = 8 mangoes

Answer 14

ok since theres 8 mangoes that will mean theres 7 pineapples? right?

Answer 15

Now you can use your y-value into the first equation to solve for number of pineapples.

Yes, 7 pineapples :) \(\checkmark\)

x + 8 = 15
x = 15 - 8 = 7 pineapples

Good job.

Answer 16

:) thank you so much! i was stuck on this problem forever

Answer 17

Haha, no problem!

Answer 18

Yes, @Directrix's method works as well.