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Pavel [41]
3 years ago
9

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
Mathematics
1 answer:
kotykmax [81]3 years ago
4 0
We can create equations to solve this.

2.50p + 1.50m = 29.50
p + m = 15

Solve for a variable in the 2nd equation and use the substitution method to solve.

p + m = 15

Subtract p to both sides:

m = -p + 15

Plug in -p + 15 for m in the first equation.

2.50p + 1.50(-p + 15) = 29.50

Distribute:

2.50p - 1.50p + 22.50 = 29.50

Combine like terms:

p + 22.50 = 29.50

Subtract 22.50 to both sides:

p = 7

Now plug this into any of the two equations and solve for the other variable.

p + m = 15

7 + m = 15

Subtract 7 to both sides:

m = 8

So he purchased 7 pineapples and 8 mangos.
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