Hudson went into a grocery store and bought 5 peaches and 7 mangos, costing a total of $16. austin went into the same grocery store and bought 10 peaches and 4 mangos, costing a total of $14.50. determine the price of each peach and the price of each mango.

the mango cost 1.75$ each and the peach 0.75$

Step-by-step explanation:

M= mango

P=peach

we know that Hudson spend 16$ buying 7 mangos and 5 peaches. So we can write the equation

(1) 16=7M+5P---> (2)P=(16-7M)/5

and we know that Austin spend 14.50 buying 4 mangos and 10 peaches.

we write the equation

(3)14.50=4M+10P

and we replace the P with the equation (2)

14.5=4M+10*(16-7M)/5

14.5=4M+2*(16-7M)

14.5-32=4M-14M

M=1,75$

and now we replace M in eq. (2)P=(16-7*1.75)/5=0.75$

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

i need a picture

step-by-step explanation: