1. Your mother bought 20 kilos of mangoes and atis combined. Mango is P
60.00 per kilo and atis is P 40.00 per kilo. If she paid P 1000.00 for 20 kilos,
how many kilos of each kind mother bought?
(a) If x is number of kilos of mango and number of kilos of atis, then the
equation is:
(b) Equation for the Cost of fruits
(c) The system of equations are
and
(d) Solve by any method.
(e) Check if your result will satisfy the problem.
Answers & Comments
Verified answer
Word Problem
a) If x is the number of kilos of mango and the number of kilos of atis, then the equation is:
x + x = 20
(b) Equation for the cost of fruits:
60x + 40x = 1000
(c) The system of equations are
x + x = 20 and 60x + 40x = 1000.
(d) Solve by any method.
60x + 40x = 1000
100x = 1000
100x/100 = 1000/100
x = 10
Mother bought 10 kilos of mango and 10 kilos of atis.
(e) Check if your result will satisfy the problem.
x + x = 20
10 + 10 = 20
20 = 20 ✔
60x + 40x = 1000
60(10) + 40(10) = 1000
600 + 400 = 1000
1000 = 1000 ✔
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