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stephaniero6
26.06.2019 •
Mathematics
If aisha buys 2 veggie wraps and 3 apples and spends 6.24, and jamie buys 3 veggie wraps and 2 apples and spends 6.64. how much do the veggie wraps cost?
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Ответ:
1.488
Step-by-step explanation:
Let x be the price of a veggie wrap and y be the price of an apple.
2x + 3y = 6.24 [EQUATION 1]
3x + 2y = 6.64 [EQUATION 2]
[You need 2 equations for this question because there are 2 unknowns, the prices of a veggie wrap and an apple.]
[You can use elimination or substitution to calculate the equations. I'll just use elimination]
ELIMINATION:
[EQUATION 1 * 3] - [EQUATION 2 * 2]:
(2x + 3y)*3 - (3x + 2y)*2 = (6.24*3) - (6.64*2)
6x + 9y - 6x - 4y = 18.72 - 13.28
5y = 5.44
y = 1.088
[since y is the price of an apple and NOT a veggie wrap, you still need to find x]
sub (substitute) y = 1.088 into [EQUATION 1]
2x + 3(1.088) = 6.24
2x = 6.24 - 3.264
x = 1.488
An apple costs 1.088 and a veggie wrap costs 1.488.
Ответ: