Answer:
percentage applied to pants and sweater is 80%, and that applied to shirt and shoes is 70%
Step-by-step explanation:
<u>Question in English</u>
Leticia and Marta have gone Shopping in the sales. The First has bought $ 42 pants and a $ 24 shirt, and the second has bought a $ 28 sweater and $ 60 shoes. After applying the discounts, Leticia has paid $ 50.4 and Marta $ 64.4. Calculate the percentages of discounts applied knowing that the percentage applied to the pants and the sweater matched and that applied to the shirt and shoes as well.
<u>Solution</u>
Leticia = 42 + 24 = 50.4
Marta = 28 + 60 = 64.4
The percentage applied to the pants and the sweater coincided (that is, it is x) and that applied to the shirt and shoes also (that is, it is y)
Thus,
1) 42x + 24y = 50.4
2) 28x + 60y = 64.4
obtaining and in 1 we have
y = 50.4 - 42x / 24
y = 2.1 - 1.75x
Substituting and in 2 we obtain
28x + 60y = 64.4
28x + 60 (2.1 - 1.75x) = 64.4
28x + 126 - 105x = 64.4
126 - 64.4 = 105x - 28x
x = 61.6 / 77
x = 0.8
Substituting x into 1 gives:
42x + 24y = 50.4
42 (0.8) + 24y = 50.4
33.6 + 24y = 50.4
y = 50.4 -33.6 / 24
y = 0.7
Therefore, the percentage applied to pants and sweater is 80%, and that applied to shirt and shoes is 70%
I<span>10/15 and 14/21 are equivalent fractions because 10 x 21 = 15 x 14,
210 = 210.
TRUE.</span>
X is 15 A is 90 B is 30 and C is 60
Answer:
yes
Step-by-step explanation:
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