~ MATH ANSWERS ~

Figure 1: You can find the volume of water

120 x 6 = 720 cubic-cm


Figure 2: You can find the volume of air

15cm - 7cm = 8cm of air

Volume of air --> 120 x 8 = 960 cubic-cm

Volume of container --> Volume of Water + Volume of Air
                                            720 + 960
                                            = 1680 cubic-cm


 

1) Draw model

2) Compare model: 9 cheesecakes - 5 cheesecakes = 4 cheesecakes

3) 4 Cheesecakes --> $12.40 + $2 = $14.40

4) 1 Cheesecake --> $3.60

 

KEY NOTE: BOTH gave EQUAL NUMBER of stamps to Sam.

This means that BEFORE GIVING, Kumar ALREADY HAD 4 TIMES AS MANY stamps as Jamil.

DIFFERENCE between JAMIL & KUMAR before or after giving the stamps to Sam IS THE SAME.

Thus, 4U - 1U = 3U

3U --> 382 - 190 = 192

1U --> 64

190 - 64 = 126

Sam received --> 126 x 2 = 252 Stamps

 

DRAW MODEL.

AGAIN, EQUAL NUMBER of flowers bought.

Which means, BEFORE BUYING, florist already had 56 MORE LILIES than roses.

Thus, Florist had TWICE AS MANY LILIES AS ROSES because she has 56 MORE LILIES.

Comparing model, 1U --> 56

244 - 56 - 56 -56 = 76

76 divide by 2 = 38

1) Find ratio of Male to Female Workers:   9 : 20

2) REALISE that Male worker no change, thus ratio should still be 9.

3) Thus convert 3 : 4  into 9 : 12 , as MALE RATIO NO CHANGE.

4) Difference of Female:  12U - 4U = 8U

8U --> 72

1U --> 9

Males at first (9U) --> 9 x 9 = 81