Răspuns :
1)x-pretul initial
10% din x= 10/100 * x=1/10 *x= x/10 -marirea
x+x/10=(10x+x)/10=11x/10-noul pret
15% din 11x/10= 15/100 *11x/10= 3/20 *11x/10= 33x/200-a doua marire
11x/10 +33x/200= (220x+33x)/200= 253x/200 -noul nou pret
253x/200=1320
x=1320*200/253
x=264 000/253
x=1043,47
2)a²-b²=6600
a-b=20
a²-b²=(a+b)(a-b)=20*(a+b)
a+b=6600:20
a+b=330
a+b=330
a-b=20 adunam cele 2 ecuatii
2a/ =350
a=175
b=330-175
b=155
3)x-cate pagini are cartea
3/8 din x + 5= 3/8 *x+ 5= 3x/8 +5 -in prima zi
x- (3x/8+5)= (8x-3x+40)/8= (5x+40)/8 -restul
2/5 din (5x+40)/8 + 2= 2/5 * 5(x+8)/8 +2= (x+8)/4 +2 -a doua zi
(5x+40)/8 - (x+8)/4-2= (5x+40-2x-16-16)/8= (3x+40-32)/8= (3x+8)/8 -noul rest
(3x+8)/8=115
3x+8=8*115
3x+8=920
3x=920-8
3x=912
x=304
4)m- varsta mamei
t-varsta tatei
b-varsta baiatului
f-varsta fetei
m+t+b+f=86
(m+t)-50=b+f
m=8/9 din t= 8/9*t= 8t/9
b=2f
8t/9 +t-50 =2f+f
8t/9 +t-50 =3f aducem la acelasi numitor
8t+9t-450=27f
17t-450=27f
f=(17t-450)/27
b=(34t-900)/27
(17t-450)/27 + (34t-900)/27 +t + 8t/9 =86 aducem la acelasi numitor
17t-450+34t-900+27t+24t=2322
102t -1350=2322
102t=2322+1350
102t=3672
t=36
f=(17*36-450)/27= (612-450)/27= 162/27= 6
b=2f=2*6=12
m=8t/9= 8*36/9= 8*4=32
10% din x= 10/100 * x=1/10 *x= x/10 -marirea
x+x/10=(10x+x)/10=11x/10-noul pret
15% din 11x/10= 15/100 *11x/10= 3/20 *11x/10= 33x/200-a doua marire
11x/10 +33x/200= (220x+33x)/200= 253x/200 -noul nou pret
253x/200=1320
x=1320*200/253
x=264 000/253
x=1043,47
2)a²-b²=6600
a-b=20
a²-b²=(a+b)(a-b)=20*(a+b)
a+b=6600:20
a+b=330
a+b=330
a-b=20 adunam cele 2 ecuatii
2a/ =350
a=175
b=330-175
b=155
3)x-cate pagini are cartea
3/8 din x + 5= 3/8 *x+ 5= 3x/8 +5 -in prima zi
x- (3x/8+5)= (8x-3x+40)/8= (5x+40)/8 -restul
2/5 din (5x+40)/8 + 2= 2/5 * 5(x+8)/8 +2= (x+8)/4 +2 -a doua zi
(5x+40)/8 - (x+8)/4-2= (5x+40-2x-16-16)/8= (3x+40-32)/8= (3x+8)/8 -noul rest
(3x+8)/8=115
3x+8=8*115
3x+8=920
3x=920-8
3x=912
x=304
4)m- varsta mamei
t-varsta tatei
b-varsta baiatului
f-varsta fetei
m+t+b+f=86
(m+t)-50=b+f
m=8/9 din t= 8/9*t= 8t/9
b=2f
8t/9 +t-50 =2f+f
8t/9 +t-50 =3f aducem la acelasi numitor
8t+9t-450=27f
17t-450=27f
f=(17t-450)/27
b=(34t-900)/27
(17t-450)/27 + (34t-900)/27 +t + 8t/9 =86 aducem la acelasi numitor
17t-450+34t-900+27t+24t=2322
102t -1350=2322
102t=2322+1350
102t=3672
t=36
f=(17*36-450)/27= (612-450)/27= 162/27= 6
b=2f=2*6=12
m=8t/9= 8*36/9= 8*4=32