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18 August, 14:26

raj has $10. if he buys 8 pears and 5 mangoes, he will be short of $1.10. if he buys 5 pears and 4 mangoes, he will receive $1.75 in change. find the price of 1 pear and 1 mango

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  1. 18 August, 14:44
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    1 pear = $0.45

    1 mango = 1.5

    Step-by-step explanation:

    8 pears + 5 mangoes = $11.10 ➡ 8p + 5m = 11.10

    5 pears + 4 mangoes = $8.25 ➡ 5p + 4m = 8.25

    multiply first equation by - 4 and second one by 5

    -4 * (8p+5m) = 11.10 ➡ - 32p - 20m = 44.4

    5 * (5p+4m) = 8.25 ➡ 25p + 20m = 41.25

    add both equations up

    -32p - 20m + 25p + 20m = 44.4 + 41.25

    -7p = 3.15 ➡ p = $0.45

    use this value to find the price of mango

    5*0.45 + 4*m = 8.25 ➡ 2.25 + 4m = 8.25 ➡ 4m = 6 ➡ m = $1.5
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