A dessert has both fruit and yogurt inside. Altogether, the mass of the fruit and yogurt is 175 g. The ratio of the mass of the fruit to the mass of the yogurt is 2:5.
Which calculation will give the mass of the yogurt?
A. 175 ÷ 5 × 7
B. 175 ÷ 7 × 5
C. 175 ÷ 5 × 2
D. 175 ÷ 7 × 2
What is the mass of the yogurt (not the fruit and yogurt - just the yogurt, so it's not 175 g)?
Answer (2)
2 ( t h e ma ss o f t h e f r u i t ) : 5 ( t h e ma ss o f t h e yo g h u r t ) ⇒ 7 5 o f t h e a ll ma ss i s t h e ma ss o f t h e yo g h u r t 7 5 ⋅ 175 g = 5 ⋅ 25 g = 125 g A n s . 175 d i v i d e 7 t im es 5. T h e ma ss o f t h e yo g h u r t i s 125 g .
The mass of the yogurt in the dessert is 125 g. The calculation that correctly finds this mass is option B: 175 ÷ 7 × 5. This equation is derived from the mass ratio of fruit to yogurt, which is 2:5, and the total mass of 175 g.
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